What is the Least Common Multiple of 15072 and 15076?

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 15072 and 15076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15072 and 15076, than apply into the LCM equation.

GCF(15072,15076) = 4
LCM(15072,15076) = ( 15072 × 15076) / 4
LCM(15072,15076) = 227225472 / 4
LCM(15072,15076) = 56806368

Least Common Multiple (LCM) of 15072 and 15076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15072 and 15076. First we will calculate the prime factors of 15072 and 15076.

Prime Factorization of 15072

Prime Factorization of 15076

Now multiplying the highest exponent prime factors to calculate the LCM of 15072 and 15076.

LCM(15072,15076) = 2⁵ × 3¹ × 157¹ × 3769¹
LCM(15072,15076) = 56806368