What is the Least Common Multiple of 15072 and 15089?

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 15089 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 15089, than apply into the LCM equation.

GCF(15072,15089) = 1
LCM(15072,15089) = ( 15072 × 15089) / 1
LCM(15072,15089) = 227421408 / 1
LCM(15072,15089) = 227421408

Least Common Multiple (LCM) of 15072 and 15089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15072 and 15089. First we will calculate the prime factors of 15072 and 15089.

Prime Factorization of 15072

Prime Factorization of 15089

Now multiplying the highest exponent prime factors to calculate the LCM of 15072 and 15089.

LCM(15072,15089) = 2⁵ × 3¹ × 157¹ × 79¹ × 191¹
LCM(15072,15089) = 227421408