What is the Least Common Multiple of 57945 and 57957?

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 57945 and 57957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57945 and 57957, than apply into the LCM equation.

GCF(57945,57957) = 3
LCM(57945,57957) = ( 57945 × 57957) / 3
LCM(57945,57957) = 3358318365 / 3
LCM(57945,57957) = 1119439455

Least Common Multiple (LCM) of 57945 and 57957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57945 and 57957. First we will calculate the prime factors of 57945 and 57957.

Prime Factorization of 57945

Prime Factorization of 57957

Now multiplying the highest exponent prime factors to calculate the LCM of 57945 and 57957.

LCM(57945,57957) = 3¹ × 5¹ × 3863¹ × 19319¹
LCM(57945,57957) = 1119439455