What is the Least Common Multiple of 12600 and 12604?

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 12600 and 12604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12600 and 12604, than apply into the LCM equation.

GCF(12600,12604) = 4
LCM(12600,12604) = ( 12600 × 12604) / 4
LCM(12600,12604) = 158810400 / 4
LCM(12600,12604) = 39702600

Least Common Multiple (LCM) of 12600 and 12604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12600 and 12604. First we will calculate the prime factors of 12600 and 12604.

Prime Factorization of 12600

Prime Factorization of 12604

Now multiplying the highest exponent prime factors to calculate the LCM of 12600 and 12604.

LCM(12600,12604) = 2³ × 3² × 5² × 7¹ × 23¹ × 137¹
LCM(12600,12604) = 39702600