What is the Least Common Multiple of 25188 and 25200?

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 25188 and 25200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25188 and 25200, than apply into the LCM equation.

GCF(25188,25200) = 12
LCM(25188,25200) = ( 25188 × 25200) / 12
LCM(25188,25200) = 634737600 / 12
LCM(25188,25200) = 52894800

Least Common Multiple (LCM) of 25188 and 25200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25188 and 25200. First we will calculate the prime factors of 25188 and 25200.

Prime Factorization of 25188

Prime Factorization of 25200

Now multiplying the highest exponent prime factors to calculate the LCM of 25188 and 25200.

LCM(25188,25200) = 2⁴ × 3² × 2099¹ × 5² × 7¹
LCM(25188,25200) = 52894800