What is the Least Common Multiple of 15060 and 15072?

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 15060 and 15072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15060 and 15072, than apply into the LCM equation.

GCF(15060,15072) = 12
LCM(15060,15072) = ( 15060 × 15072) / 12
LCM(15060,15072) = 226984320 / 12
LCM(15060,15072) = 18915360

Least Common Multiple (LCM) of 15060 and 15072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15060 and 15072. First we will calculate the prime factors of 15060 and 15072.

Prime Factorization of 15060

Prime Factorization of 15072

Now multiplying the highest exponent prime factors to calculate the LCM of 15060 and 15072.

LCM(15060,15072) = 2⁵ × 3¹ × 5¹ × 251¹ × 157¹
LCM(15060,15072) = 18915360