What is the Least Common Multiple of 14994 and 15004?

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 14994 and 15004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14994 and 15004, than apply into the LCM equation.

GCF(14994,15004) = 2
LCM(14994,15004) = ( 14994 × 15004) / 2
LCM(14994,15004) = 224969976 / 2
LCM(14994,15004) = 112484988

Least Common Multiple (LCM) of 14994 and 15004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14994 and 15004. First we will calculate the prime factors of 14994 and 15004.

Prime Factorization of 14994

Prime Factorization of 15004

Now multiplying the highest exponent prime factors to calculate the LCM of 14994 and 15004.

LCM(14994,15004) = 2² × 3² × 7² × 17¹ × 11² × 31¹
LCM(14994,15004) = 112484988