What is the Least Common Multiple of 12500 and 12504?

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 12500 and 12504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12500 and 12504, than apply into the LCM equation.

GCF(12500,12504) = 4
LCM(12500,12504) = ( 12500 × 12504) / 4
LCM(12500,12504) = 156300000 / 4
LCM(12500,12504) = 39075000

Least Common Multiple (LCM) of 12500 and 12504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12500 and 12504. First we will calculate the prime factors of 12500 and 12504.

Prime Factorization of 12500

Prime Factorization of 12504

Now multiplying the highest exponent prime factors to calculate the LCM of 12500 and 12504.

LCM(12500,12504) = 2³ × 5⁵ × 3¹ × 521¹
LCM(12500,12504) = 39075000