What is the Least Common Multiple of 42138 and 42150?

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 42138 and 42150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42138 and 42150, than apply into the LCM equation.

GCF(42138,42150) = 6
LCM(42138,42150) = ( 42138 × 42150) / 6
LCM(42138,42150) = 1776116700 / 6
LCM(42138,42150) = 296019450

Least Common Multiple (LCM) of 42138 and 42150 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42138 and 42150. First we will calculate the prime factors of 42138 and 42150.

Prime Factorization of 42138

Prime Factorization of 42150

Now multiplying the highest exponent prime factors to calculate the LCM of 42138 and 42150.

LCM(42138,42150) = 2¹ × 3² × 2341¹ × 5² × 281¹
LCM(42138,42150) = 296019450