What is the Least Common Multiple of 75928 and 75942?

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 75928 and 75942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75928 and 75942, than apply into the LCM equation.

GCF(75928,75942) = 2
LCM(75928,75942) = ( 75928 × 75942) / 2
LCM(75928,75942) = 5766124176 / 2
LCM(75928,75942) = 2883062088

Least Common Multiple (LCM) of 75928 and 75942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75928 and 75942. First we will calculate the prime factors of 75928 and 75942.

Prime Factorization of 75928

Prime Factorization of 75942

Now multiplying the highest exponent prime factors to calculate the LCM of 75928 and 75942.

LCM(75928,75942) = 2³ × 9491¹ × 3² × 4219¹
LCM(75928,75942) = 2883062088