What is the Least Common Multiple of 15078 and 15084?

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 15078 and 15084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15078 and 15084, than apply into the LCM equation.

GCF(15078,15084) = 6
LCM(15078,15084) = ( 15078 × 15084) / 6
LCM(15078,15084) = 227436552 / 6
LCM(15078,15084) = 37906092

Least Common Multiple (LCM) of 15078 and 15084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15078 and 15084. First we will calculate the prime factors of 15078 and 15084.

Prime Factorization of 15078

Prime Factorization of 15084

Now multiplying the highest exponent prime factors to calculate the LCM of 15078 and 15084.

LCM(15078,15084) = 2² × 3² × 7¹ × 359¹ × 419¹
LCM(15078,15084) = 37906092