What is the Least Common Multiple of 57916 and 57930?

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 57916 and 57930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57916 and 57930, than apply into the LCM equation.

GCF(57916,57930) = 2
LCM(57916,57930) = ( 57916 × 57930) / 2
LCM(57916,57930) = 3355073880 / 2
LCM(57916,57930) = 1677536940

Least Common Multiple (LCM) of 57916 and 57930 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57916 and 57930. First we will calculate the prime factors of 57916 and 57930.

Prime Factorization of 57916

Prime Factorization of 57930

Now multiplying the highest exponent prime factors to calculate the LCM of 57916 and 57930.

LCM(57916,57930) = 2² × 14479¹ × 3¹ × 5¹ × 1931¹
LCM(57916,57930) = 1677536940