What is the Least Common Multiple of 89172 and 89190?

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 89172 and 89190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89172 and 89190, than apply into the LCM equation.

GCF(89172,89190) = 18
LCM(89172,89190) = ( 89172 × 89190) / 18
LCM(89172,89190) = 7953250680 / 18
LCM(89172,89190) = 441847260

Least Common Multiple (LCM) of 89172 and 89190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89172 and 89190. First we will calculate the prime factors of 89172 and 89190.

Prime Factorization of 89172

Prime Factorization of 89190

Now multiplying the highest exponent prime factors to calculate the LCM of 89172 and 89190.

LCM(89172,89190) = 2² × 3² × 2477¹ × 5¹ × 991¹
LCM(89172,89190) = 441847260