What is the Least Common Multiple of 75604 and 75612?

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 75604 and 75612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75604 and 75612, than apply into the LCM equation.

GCF(75604,75612) = 4
LCM(75604,75612) = ( 75604 × 75612) / 4
LCM(75604,75612) = 5716569648 / 4
LCM(75604,75612) = 1429142412

Least Common Multiple (LCM) of 75604 and 75612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75604 and 75612. First we will calculate the prime factors of 75604 and 75612.

Prime Factorization of 75604

Prime Factorization of 75612

Now multiplying the highest exponent prime factors to calculate the LCM of 75604 and 75612.

LCM(75604,75612) = 2² × 41¹ × 461¹ × 3¹ × 6301¹
LCM(75604,75612) = 1429142412