What is the Least Common Multiple of 32625 and 32635?

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 32625 and 32635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32625 and 32635, than apply into the LCM equation.

GCF(32625,32635) = 5
LCM(32625,32635) = ( 32625 × 32635) / 5
LCM(32625,32635) = 1064716875 / 5
LCM(32625,32635) = 212943375

Least Common Multiple (LCM) of 32625 and 32635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32625 and 32635. First we will calculate the prime factors of 32625 and 32635.

Prime Factorization of 32625

Prime Factorization of 32635

Now multiplying the highest exponent prime factors to calculate the LCM of 32625 and 32635.

LCM(32625,32635) = 3² × 5³ × 29¹ × 61¹ × 107¹
LCM(32625,32635) = 212943375