What is the Least Common Multiple of 2964 and 2977?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 2964 and 2977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2964 and 2977, than apply into the LCM equation.

GCF(2964,2977) = 13
LCM(2964,2977) = ( 2964 × 2977) / 13
LCM(2964,2977) = 8823828 / 13
LCM(2964,2977) = 678756

Least Common Multiple (LCM) of 2964 and 2977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2964 and 2977. First we will calculate the prime factors of 2964 and 2977.

Prime Factorization of 2964

Prime Factorization of 2977

Now multiplying the highest exponent prime factors to calculate the LCM of 2964 and 2977.

LCM(2964,2977) = 2² × 3¹ × 13¹ × 19¹ × 229¹
LCM(2964,2977) = 678756