What is the Least Common Multiple of 15096 and 15114?

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 15096 and 15114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15096 and 15114, than apply into the LCM equation.

GCF(15096,15114) = 6
LCM(15096,15114) = ( 15096 × 15114) / 6
LCM(15096,15114) = 228160944 / 6
LCM(15096,15114) = 38026824

Least Common Multiple (LCM) of 15096 and 15114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15096 and 15114. First we will calculate the prime factors of 15096 and 15114.

Prime Factorization of 15096

Prime Factorization of 15114

Now multiplying the highest exponent prime factors to calculate the LCM of 15096 and 15114.

LCM(15096,15114) = 2³ × 3¹ × 17¹ × 37¹ × 11¹ × 229¹
LCM(15096,15114) = 38026824