What is the Least Common Multiple of 37977 and 37992?

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 37977 and 37992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37977 and 37992, than apply into the LCM equation.

GCF(37977,37992) = 3
LCM(37977,37992) = ( 37977 × 37992) / 3
LCM(37977,37992) = 1442822184 / 3
LCM(37977,37992) = 480940728

Least Common Multiple (LCM) of 37977 and 37992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37977 and 37992. First we will calculate the prime factors of 37977 and 37992.

Prime Factorization of 37977

Prime Factorization of 37992

Now multiplying the highest exponent prime factors to calculate the LCM of 37977 and 37992.

LCM(37977,37992) = 3¹ × 12659¹ × 2³ × 1583¹
LCM(37977,37992) = 480940728