What is the Least Common Multiple of 75108 and 75125?

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 75108 and 75125 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75108 and 75125, than apply into the LCM equation.

GCF(75108,75125) = 1
LCM(75108,75125) = ( 75108 × 75125) / 1
LCM(75108,75125) = 5642488500 / 1
LCM(75108,75125) = 5642488500

Least Common Multiple (LCM) of 75108 and 75125 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75108 and 75125. First we will calculate the prime factors of 75108 and 75125.

Prime Factorization of 75108

Prime Factorization of 75125

Now multiplying the highest exponent prime factors to calculate the LCM of 75108 and 75125.

LCM(75108,75125) = 2² × 3¹ × 11¹ × 569¹ × 5³ × 601¹
LCM(75108,75125) = 5642488500