What is the Least Common Multiple of 7932 and 7941?

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 7932 and 7941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7932 and 7941, than apply into the LCM equation.

GCF(7932,7941) = 3
LCM(7932,7941) = ( 7932 × 7941) / 3
LCM(7932,7941) = 62988012 / 3
LCM(7932,7941) = 20996004

Least Common Multiple (LCM) of 7932 and 7941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7932 and 7941. First we will calculate the prime factors of 7932 and 7941.

Prime Factorization of 7932

Prime Factorization of 7941

Now multiplying the highest exponent prime factors to calculate the LCM of 7932 and 7941.

LCM(7932,7941) = 2² × 3¹ × 661¹ × 2647¹
LCM(7932,7941) = 20996004