What is the Least Common Multiple of 37926 and 37941?

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 37926 and 37941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37926 and 37941, than apply into the LCM equation.

GCF(37926,37941) = 3
LCM(37926,37941) = ( 37926 × 37941) / 3
LCM(37926,37941) = 1438950366 / 3
LCM(37926,37941) = 479650122

Least Common Multiple (LCM) of 37926 and 37941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37926 and 37941. First we will calculate the prime factors of 37926 and 37941.

Prime Factorization of 37926

Prime Factorization of 37941

Now multiplying the highest exponent prime factors to calculate the LCM of 37926 and 37941.

LCM(37926,37941) = 2¹ × 3² × 7² × 43¹ × 12647¹
LCM(37926,37941) = 479650122