What is the Least Common Multiple of 90172 and 90187?

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 90172 and 90187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90172 and 90187, than apply into the LCM equation.

GCF(90172,90187) = 1
LCM(90172,90187) = ( 90172 × 90187) / 1
LCM(90172,90187) = 8132342164 / 1
LCM(90172,90187) = 8132342164

Least Common Multiple (LCM) of 90172 and 90187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90172 and 90187. First we will calculate the prime factors of 90172 and 90187.

Prime Factorization of 90172

Prime Factorization of 90187

Now multiplying the highest exponent prime factors to calculate the LCM of 90172 and 90187.

LCM(90172,90187) = 2² × 22543¹ × 90187¹
LCM(90172,90187) = 8132342164