What is the Least Common Multiple of 42144 and 42152?

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 42144 and 42152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42144 and 42152, than apply into the LCM equation.

GCF(42144,42152) = 8
LCM(42144,42152) = ( 42144 × 42152) / 8
LCM(42144,42152) = 1776453888 / 8
LCM(42144,42152) = 222056736

Least Common Multiple (LCM) of 42144 and 42152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42144 and 42152. First we will calculate the prime factors of 42144 and 42152.

Prime Factorization of 42144

Prime Factorization of 42152

Now multiplying the highest exponent prime factors to calculate the LCM of 42144 and 42152.

LCM(42144,42152) = 2⁵ × 3¹ × 439¹ × 11¹ × 479¹
LCM(42144,42152) = 222056736