What is the Least Common Multiple of 75252 and 75256?

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 75252 and 75256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75252 and 75256, than apply into the LCM equation.

GCF(75252,75256) = 4
LCM(75252,75256) = ( 75252 × 75256) / 4
LCM(75252,75256) = 5663164512 / 4
LCM(75252,75256) = 1415791128

Least Common Multiple (LCM) of 75252 and 75256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75252 and 75256. First we will calculate the prime factors of 75252 and 75256.

Prime Factorization of 75252

Prime Factorization of 75256

Now multiplying the highest exponent prime factors to calculate the LCM of 75252 and 75256.

LCM(75252,75256) = 2³ × 3¹ × 6271¹ × 23¹ × 409¹
LCM(75252,75256) = 1415791128