LCM of 8 and also 9 is the smallest number amongst all common multiples of 8 and 9. The first few multiples of 8 and 9 space (8, 16, 24, 32, 40, 48, . . . ) and (9, 18, 27, 36, 45, . . . ) respectively. There are 3 frequently used approaches to find LCM of 8 and also 9 - by department method, by listing multiples, and by element factorization.

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1.LCM the 8 and 9
2.List that 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 also y(9), is the smallest confident integer m(72) the is divisible through both x(8) and also y(9) without any kind of remainder.


The approaches to find the LCM of 8 and also 9 are defined below.

By division MethodBy prime Factorization MethodBy Listing Multiples

LCM that 8 and 9 by department Method

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To calculation the LCM that 8 and also 9 by the department method, we will divide the numbers(8, 9) by their prime components (preferably common). The product of these divisors offers the LCM the 8 and 9.

Step 3: proceed the measures until just 1s room left in the last row.

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

LCM of 8 and also 9 by prime Factorization

Prime factorization of 8 and also 9 is (2 × 2 × 2) = 23 and (3 × 3) = 32 respectively. LCM that 8 and 9 deserve to be derived by multiply prime components raised to their respective highest possible power, i.e. 23 × 32 = 72.Hence, the LCM of 8 and also 9 by prime factorization is 72.

LCM that 8 and 9 by Listing Multiples

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

Step 1: list a few multiples of 8 (8, 16, 24, 32, 40, 48, . . . ) and 9 (9, 18, 27, 36, 45, . . . . )Step 2: The common multiples native the multiples of 8 and 9 space 72, 144, . . .Step 3: The smallest usual multiple the 8 and also 9 is 72.

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∴ The least usual multiple of 8 and also 9 = 72.