What is the Least Common Multiple of 37971 and 37977?

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 37971 and 37977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37971 and 37977, than apply into the LCM equation.

GCF(37971,37977) = 3
LCM(37971,37977) = ( 37971 × 37977) / 3
LCM(37971,37977) = 1442024667 / 3
LCM(37971,37977) = 480674889

Least Common Multiple (LCM) of 37971 and 37977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37971 and 37977. First we will calculate the prime factors of 37971 and 37977.

Prime Factorization of 37971

Prime Factorization of 37977

Now multiplying the highest exponent prime factors to calculate the LCM of 37971 and 37977.

LCM(37971,37977) = 3² × 4219¹ × 12659¹
LCM(37971,37977) = 480674889