What is the Least Common Multiple of 15012 and 15032?

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 15012 and 15032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15012 and 15032, than apply into the LCM equation.

GCF(15012,15032) = 4
LCM(15012,15032) = ( 15012 × 15032) / 4
LCM(15012,15032) = 225660384 / 4
LCM(15012,15032) = 56415096

Least Common Multiple (LCM) of 15012 and 15032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15012 and 15032. First we will calculate the prime factors of 15012 and 15032.

Prime Factorization of 15012

Prime Factorization of 15032

Now multiplying the highest exponent prime factors to calculate the LCM of 15012 and 15032.

LCM(15012,15032) = 2³ × 3³ × 139¹ × 1879¹
LCM(15012,15032) = 56415096