LCM that 6 and 9 is the smallest number amongst all typical multiples of 6 and 9. The first couple of multiples of 6 and also 9 room (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . ) respectively. There room 3 commonly used approaches to uncover LCM the 6 and also 9 - by prime factorization, by department method, and also by listing multiples.

You are watching: Least common multiple of 9 and 6

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

Answer: LCM of 6 and 9 is 18.

*

Explanation:

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


The approaches to discover the LCM of 6 and also 9 are described below.

By division MethodBy Listing MultiplesBy element Factorization Method

LCM that 6 and 9 by department Method

*

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

Step 3: continue the steps until just 1s room left in the critical row.

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

LCM the 6 and 9 by Listing Multiples

*

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

Step 1: perform a few multiples the 6 (6, 12, 18, 24, 30, . . . ) and also 9 (9, 18, 27, 36, . . . . )Step 2: The typical multiples indigenous the multiples the 6 and 9 are 18, 36, . . .Step 3: The smallest common multiple the 6 and 9 is 18.

∴ The least common multiple the 6 and also 9 = 18.

See more: Three Cells Undergo Meiosis. How Many Haploid Cells Are Produced? 3 6 9 12

LCM that 6 and also 9 by prime Factorization

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