LCM of 2 and 3
The least common multiple (LCM) of 2 and 3 is 6. Their greatest common factor (GCF) is 1.
Prime factorization method
Write each number as a product of primes: 2 = 2 and 3 = 3. The LCM takes every prime with its highest power, which gives 6. The GCF takes only the shared primes with their lowest power, which gives 1.
Check with the formula
For two numbers, LCM × GCF = a × b. Here 6 × 1 = 6, and 2 × 3 = 6, so the answer is correct.
Multiples of 2 and 3
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16 … Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24 … The first number that appears in both lists is 6.
Popular calculations
Frequently asked questions
What is the LCM of 2 and 3?
The LCM of 2 and 3 is 6. It is the smallest positive number that both 2 and 3 divide into exactly.
What is the GCF of 2 and 3?
The greatest common factor of 2 and 3 is 1. It is the largest number that divides both without a remainder.
How do I find the LCM of 2 and 3 quickly?
Divide the product by the GCF: 2 × 3 = 6, and 6 ÷ 1 = 6.