What is the Least Common Multiple of 77619 and 77625?

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 77619 and 77625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77619 and 77625, than apply into the LCM equation.

GCF(77619,77625) = 3
LCM(77619,77625) = ( 77619 × 77625) / 3
LCM(77619,77625) = 6025174875 / 3
LCM(77619,77625) = 2008391625

Least Common Multiple (LCM) of 77619 and 77625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77619 and 77625. First we will calculate the prime factors of 77619 and 77625.

Prime Factorization of 77619

Prime Factorization of 77625

Now multiplying the highest exponent prime factors to calculate the LCM of 77619 and 77625.

LCM(77619,77625) = 3³ × 25873¹ × 5³ × 23¹
LCM(77619,77625) = 2008391625