What is the Least Common Multiple of 42144 and 42153?

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 42153 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 42153, than apply into the LCM equation.

GCF(42144,42153) = 3
LCM(42144,42153) = ( 42144 × 42153) / 3
LCM(42144,42153) = 1776496032 / 3
LCM(42144,42153) = 592165344

Least Common Multiple (LCM) of 42144 and 42153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42144 and 42153. First we will calculate the prime factors of 42144 and 42153.

Prime Factorization of 42144

Prime Factorization of 42153

Now multiplying the highest exponent prime factors to calculate the LCM of 42144 and 42153.

LCM(42144,42153) = 2⁵ × 3¹ × 439¹ × 14051¹
LCM(42144,42153) = 592165344