What is the Least Common Multiple of 75172 and 75176?

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 75172 and 75176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75172 and 75176, than apply into the LCM equation.

GCF(75172,75176) = 4
LCM(75172,75176) = ( 75172 × 75176) / 4
LCM(75172,75176) = 5651130272 / 4
LCM(75172,75176) = 1412782568

Least Common Multiple (LCM) of 75172 and 75176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75172 and 75176. First we will calculate the prime factors of 75172 and 75176.

Prime Factorization of 75172

Prime Factorization of 75176

Now multiplying the highest exponent prime factors to calculate the LCM of 75172 and 75176.

LCM(75172,75176) = 2³ × 18793¹ × 9397¹
LCM(75172,75176) = 1412782568