What is the Least Common Multiple of 14985 and 15000?

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 14985 and 15000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14985 and 15000, than apply into the LCM equation.

GCF(14985,15000) = 15
LCM(14985,15000) = ( 14985 × 15000) / 15
LCM(14985,15000) = 224775000 / 15
LCM(14985,15000) = 14985000

Least Common Multiple (LCM) of 14985 and 15000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14985 and 15000. First we will calculate the prime factors of 14985 and 15000.

Prime Factorization of 14985

Prime Factorization of 15000

Now multiplying the highest exponent prime factors to calculate the LCM of 14985 and 15000.

LCM(14985,15000) = 3⁴ × 5⁴ × 37¹ × 2³
LCM(14985,15000) = 14985000