What is the Least Common Multiple of 77625 and 77643?

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 77643 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 77643, than apply into the LCM equation.

GCF(77625,77643) = 9
LCM(77625,77643) = ( 77625 × 77643) / 9
LCM(77625,77643) = 6027037875 / 9
LCM(77625,77643) = 669670875

Least Common Multiple (LCM) of 77625 and 77643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77625 and 77643. First we will calculate the prime factors of 77625 and 77643.

Prime Factorization of 77625

Prime Factorization of 77643

Now multiplying the highest exponent prime factors to calculate the LCM of 77625 and 77643.

LCM(77625,77643) = 3³ × 5³ × 23¹ × 8627¹
LCM(77625,77643) = 669670875