LCM the 8 and 9 is the smallest number amongst all common multiples the 8 and also 9. The first few multiples that 8 and 9 room (8, 16, 24, 32, 40, 48, . . . ) and (9, 18, 27, 36, 45, . . . ) respectively. There space 3 generally used methods to uncover LCM the 8 and also 9 - by division method, by listing multiples, and by element factorization.

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1.LCM of 8 and also 9
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM of 8 and also 9 is 72.

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Explanation:

The LCM of two non-zero integers, x(8) and y(9), is the smallest hopeful integer m(72) the is divisible by both x(8) and y(9) without any remainder.


The techniques to discover the LCM of 8 and also 9 are explained below.

By division MethodBy prime Factorization MethodBy Listing Multiples

LCM that 8 and 9 by division Method

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To calculate the LCM that 8 and 9 by the department method, we will certainly divide the numbers(8, 9) by your prime factors (preferably common). The product of these divisors gives the LCM of 8 and 9.

Step 3: proceed the actions until just 1s are left in the last row.

The LCM the 8 and also 9 is the product of every prime numbers on the left, i.e. LCM(8, 9) by department method = 2 × 2 × 2 × 3 × 3 = 72.

LCM of 8 and 9 by element Factorization

Prime administrate of 8 and also 9 is (2 × 2 × 2) = 23 and (3 × 3) = 32 respectively. LCM of 8 and 9 deserve to be derived by multiplying prime components raised to your respective greatest power, i.e. 23 × 32 = 72.Hence, the LCM the 8 and also 9 by prime factorization is 72.

LCM that 8 and also 9 by Listing Multiples

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To calculation the LCM of 8 and 9 by listing the end the common multiples, we have the right to follow the given listed below steps:

Step 1: list a couple of multiples that 8 (8, 16, 24, 32, 40, 48, . . . ) and also 9 (9, 18, 27, 36, 45, . . . . )Step 2: The typical multiples indigenous the multiples of 8 and also 9 room 72, 144, . . .Step 3: The smallest typical multiple that 8 and 9 is 72.

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∴ The least common multiple of 8 and 9 = 72.