The smallest common multiple of 2 and 3 is called an LCM.The first digits of the number 2 and 3 are (2, 4, 6, 8, . . . ) and (3, 6, 9, 12, 15, . . . ).In order to find LCM of 2 and 3, there are three methods: division method, listing multiples, and prime factorization.
1. | LCM of 2 and 3 |
2. | List of Methods |
3. | Solved Examples |
4. | FAQs |
In the case of 2 and 3, the LCM is 6.

This is why:
The following steps explain how to calculate the LCM of 2 and 3.
LCM of 2 and 3 by Listing Multiples

In order to calculate the LCM for 2 and 3 by listing out the common multiples, we can follow these steps:
The first step is:In step 2, you must:Third step:2 + 3 = 6 is the least common multiple.
LCM of 2 and 3 by Prime Factorization
(2) = 21 and (3) = 31 respectively are the prime factors of 2 and 3.To find the LCM for 2 and 3, multiply prime factors to their respective highest power, for example, 21 * 31 = 6. Therefore, by prime factorization, the LCM for 2 and 3 is 6.
LCM of 2 and 3 by Division Method

By using the division method, we can find the LCM of 2 and 3 by dividing those two numbers (2, 3) by a common prime factor.This will give us the LCM of 2 and 3.
Three steps:Using the division method,.(6) by division: 2 x 3 = 6.
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FAQs on LCM of 2 and 3
What is the LCM of 2 and 3?
When 2 and 3 are added, the LCM is 6.
What is the Least Perfect Square Divisible by 2 and 3?
Least perfect square divisible by each number 2 and 3 = LCM(2, 3) × 2 × 3 = 36 Therefore, 36 is the required number.
What are the Methods to Find LCM of 2 and 3?
Usually, the LCM of 2 and 3 is found by:
What is the Relation Between GCF and LCM of 2, 3?
The expression below can be used to express the relationship between GCF and LCM of 2 and 3:.(2) * (3).
If the LCM of 3 and 2 is 6, Find its GCF.
LCM (3, 2) + GCF (3, 2) = 3 * 2Since the LCM of 3 and 2 = 6* 6 * GCF (3, 2) = 6Therefore, GCF (3, 2) = 6/6 = 1.