What is the Least Common Multiple of 77625 and 77635?

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 77625 and 77635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77625 and 77635, than apply into the LCM equation.

GCF(77625,77635) = 5
LCM(77625,77635) = ( 77625 × 77635) / 5
LCM(77625,77635) = 6026416875 / 5
LCM(77625,77635) = 1205283375

Least Common Multiple (LCM) of 77625 and 77635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77625 and 77635. First we will calculate the prime factors of 77625 and 77635.

Prime Factorization of 77625

Prime Factorization of 77635

Now multiplying the highest exponent prime factors to calculate the LCM of 77625 and 77635.

LCM(77625,77635) = 3³ × 5³ × 23¹ × 15527¹
LCM(77625,77635) = 1205283375