What is the Least Common Multiple of 25557 and 25572?

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 25557 and 25572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25557 and 25572, than apply into the LCM equation.

GCF(25557,25572) = 3
LCM(25557,25572) = ( 25557 × 25572) / 3
LCM(25557,25572) = 653543604 / 3
LCM(25557,25572) = 217847868

Least Common Multiple (LCM) of 25557 and 25572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25557 and 25572. First we will calculate the prime factors of 25557 and 25572.

Prime Factorization of 25557

Prime Factorization of 25572

Now multiplying the highest exponent prime factors to calculate the LCM of 25557 and 25572.

LCM(25557,25572) = 3¹ × 7¹ × 1217¹ × 2² × 2131¹
LCM(25557,25572) = 217847868