What is the Least Common Multiple of 15115 and 15132?

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 15115 and 15132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15115 and 15132, than apply into the LCM equation.

GCF(15115,15132) = 1
LCM(15115,15132) = ( 15115 × 15132) / 1
LCM(15115,15132) = 228720180 / 1
LCM(15115,15132) = 228720180

Least Common Multiple (LCM) of 15115 and 15132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15115 and 15132. First we will calculate the prime factors of 15115 and 15132.

Prime Factorization of 15115

Prime Factorization of 15132

Now multiplying the highest exponent prime factors to calculate the LCM of 15115 and 15132.

LCM(15115,15132) = 5¹ × 3023¹ × 2² × 3¹ × 13¹ × 97¹
LCM(15115,15132) = 228720180