LCM that 6 and 9 is the smallest number amongst all usual multiples of 6 and also 9. The first few multiples of 6 and 9 are (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . ) respectively. There room 3 typically used approaches to discover LCM that 6 and 9 - by prime factorization, by division method, and also by listing multiples.

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1.LCM that 6 and also 9
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM of 6 and 9 is 18.

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Explanation:

The LCM of 2 non-zero integers, x(6) and y(9), is the smallest hopeful integer m(18) the is divisible by both x(6) and y(9) without any remainder.


The approaches to discover the LCM the 6 and 9 are explained below.

By division MethodBy Listing MultiplesBy element Factorization Method

LCM of 6 and also 9 by division Method

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To calculation the LCM that 6 and also 9 through the department method, we will certainly divide the numbers(6, 9) by your prime determinants (preferably common). The product of this divisors offers the LCM the 6 and also 9.

Step 3: continue the procedures until only 1s space left in the last row.

The LCM that 6 and also 9 is the product of every prime numbers on the left, i.e. LCM(6, 9) by department method = 2 × 3 × 3 = 18.

LCM that 6 and 9 by Listing Multiples

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To calculate the LCM the 6 and 9 by listing the end the usual multiples, we deserve to follow the given below steps:

Step 1: perform a couple of multiples of 6 (6, 12, 18, 24, 30, . . . ) and 9 (9, 18, 27, 36, . . . . )Step 2: The typical multiples from the multiples the 6 and 9 room 18, 36, . . .Step 3: The smallest common multiple the 6 and 9 is 18.

∴ The least typical multiple of 6 and also 9 = 18.

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LCM of 6 and 9 by element Factorization

Prime administrate of 6 and 9 is (2 × 3) = 21 × 31 and also (3 × 3) = 32 respectively. LCM that 6 and also 9 deserve to be obtained by multiply prime factors raised to their respective highest possible power, i.e. 21 × 32 = 18.Hence, the LCM the 6 and 9 by prime factorization is 18.