What is the Least Common Multiple of 25100 and 25120?

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 25100 and 25120 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25100 and 25120, than apply into the LCM equation.

GCF(25100,25120) = 20
LCM(25100,25120) = ( 25100 × 25120) / 20
LCM(25100,25120) = 630512000 / 20
LCM(25100,25120) = 31525600

Least Common Multiple (LCM) of 25100 and 25120 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25100 and 25120. First we will calculate the prime factors of 25100 and 25120.

Prime Factorization of 25100

Prime Factorization of 25120

Now multiplying the highest exponent prime factors to calculate the LCM of 25100 and 25120.

LCM(25100,25120) = 2⁵ × 5² × 251¹ × 157¹
LCM(25100,25120) = 31525600