What is the Least Common Multiple of 56925 and 56941?

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 56925 and 56941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56925 and 56941, than apply into the LCM equation.

GCF(56925,56941) = 1
LCM(56925,56941) = ( 56925 × 56941) / 1
LCM(56925,56941) = 3241366425 / 1
LCM(56925,56941) = 3241366425

Least Common Multiple (LCM) of 56925 and 56941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56925 and 56941. First we will calculate the prime factors of 56925 and 56941.

Prime Factorization of 56925

Prime Factorization of 56941

Now multiplying the highest exponent prime factors to calculate the LCM of 56925 and 56941.

LCM(56925,56941) = 3² × 5² × 11¹ × 23¹ × 56941¹
LCM(56925,56941) = 3241366425