What is the Least Common Multiple of 56625 and 56644?

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 56625 and 56644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56625 and 56644, than apply into the LCM equation.

GCF(56625,56644) = 1
LCM(56625,56644) = ( 56625 × 56644) / 1
LCM(56625,56644) = 3207466500 / 1
LCM(56625,56644) = 3207466500

Least Common Multiple (LCM) of 56625 and 56644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56625 and 56644. First we will calculate the prime factors of 56625 and 56644.

Prime Factorization of 56625

Prime Factorization of 56644

Now multiplying the highest exponent prime factors to calculate the LCM of 56625 and 56644.

LCM(56625,56644) = 3¹ × 5³ × 151¹ × 2² × 7² × 17²
LCM(56625,56644) = 3207466500