What is the Least Common Multiple of 75612 and 75629?

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 75612 and 75629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75612 and 75629, than apply into the LCM equation.

GCF(75612,75629) = 1
LCM(75612,75629) = ( 75612 × 75629) / 1
LCM(75612,75629) = 5718459948 / 1
LCM(75612,75629) = 5718459948

Least Common Multiple (LCM) of 75612 and 75629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75612 and 75629. First we will calculate the prime factors of 75612 and 75629.

Prime Factorization of 75612

Prime Factorization of 75629

Now multiplying the highest exponent prime factors to calculate the LCM of 75612 and 75629.

LCM(75612,75629) = 2² × 3¹ × 6301¹ × 75629¹
LCM(75612,75629) = 5718459948