What is the Least Common Multiple of 15178 and 15188?

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 15178 and 15188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15178 and 15188, than apply into the LCM equation.

GCF(15178,15188) = 2
LCM(15178,15188) = ( 15178 × 15188) / 2
LCM(15178,15188) = 230523464 / 2
LCM(15178,15188) = 115261732

Least Common Multiple (LCM) of 15178 and 15188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15178 and 15188. First we will calculate the prime factors of 15178 and 15188.

Prime Factorization of 15178

Prime Factorization of 15188

Now multiplying the highest exponent prime factors to calculate the LCM of 15178 and 15188.

LCM(15178,15188) = 2² × 7589¹ × 3797¹
LCM(15178,15188) = 115261732