LCM the 2 and also 7 is the the smallest number among all typical multiples that 2 and 7. The first couple of multiples the 2 and 7 space (2, 4, 6, 8, 10, 12, 14, . . . ) and also (7, 14, 21, 28, 35, 42, 49, . . . ) respectively. There room 3 typically used methods to uncover LCM the 2 and also 7 - by division method, by element factorization, and by listing multiples.

You are watching: Least common multiple of 2 and 7

1.LCM the 2 and 7
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM the 2 and 7 is 14.

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Explanation:

The LCM of 2 non-zero integers, x(2) and also y(7), is the smallest hopeful integer m(14) that is divisible through both x(2) and also y(7) without any remainder.


Let's look in ~ the various methods for finding the LCM of 2 and also 7.

By Listing MultiplesBy element Factorization MethodBy division Method

LCM the 2 and also 7 by Listing Multiples

To calculation the LCM that 2 and 7 through listing out the usual multiples, we deserve to follow the given below steps:

Step 1: perform a few multiples the 2 (2, 4, 6, 8, 10, 12, 14, . . . ) and also 7 (7, 14, 21, 28, 35, 42, 49, . . . . )Step 2: The usual multiples native the multiples that 2 and 7 space 14, 28, . . .Step 3: The smallest typical multiple that 2 and 7 is 14.

∴ The least common multiple the 2 and also 7 = 14.

LCM of 2 and 7 by element Factorization

Prime factorization of 2 and 7 is (2) = 21 and (7) = 71 respectively. LCM that 2 and 7 deserve to be derived by multiply prime determinants raised to your respective highest possible power, i.e. 21 × 71 = 14.Hence, the LCM the 2 and 7 by prime factorization is 14.

LCM of 2 and also 7 by department Method

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To calculate the LCM that 2 and 7 by the department method, we will certainly divide the numbers(2, 7) by your prime factors (preferably common). The product of this divisors offers the LCM of 2 and also 7.

Step 3: continue the measures until just 1s space left in the critical row.

The LCM the 2 and also 7 is the product of every prime number on the left, i.e. LCM(2, 7) by division method = 2 × 7 = 14.

☛ additionally Check:


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FAQs on LCM of 2 and 7

What is the LCM that 2 and also 7?

The LCM of 2 and also 7 is 14. To uncover the least common multiple that 2 and also 7, we need to discover the multiples that 2 and 7 (multiples of 2 = 2, 4, 6, 8 . . . . 14; multiples of 7 = 7, 14, 21, 28) and also choose the smallest multiple that is exactly divisible by 2 and also 7, i.e., 14.

How to uncover the LCM of 2 and 7 by element Factorization?

To uncover the LCM the 2 and also 7 using prime factorization, we will find the prime factors, (2 = 2) and (7 = 7). LCM that 2 and also 7 is the product the prime factors raised to their respective highest exponent amongst the number 2 and also 7.⇒ LCM the 2, 7 = 21 × 71 = 14.

What room the approaches to discover LCM of 2 and also 7?

The generally used approaches to discover the LCM that 2 and also 7 are:

Prime factorization MethodListing MultiplesDivision Method

Which the the complying with is the LCM the 2 and also 7? 45, 18, 14, 5

The worth of LCM the 2, 7 is the smallest usual multiple of 2 and 7. The number to solve the given condition is 14.

If the LCM that 7 and also 2 is 14, uncover its GCF.

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LCM(7, 2) × GCF(7, 2) = 7 × 2Since the LCM the 7 and also 2 = 14⇒ 14 × GCF(7, 2) = 14Therefore, the GCF (greatest common factor) = 14/14 = 1.