What is the Least Common Multiple of 32616 and 32625?

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 32616 and 32625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32616 and 32625, than apply into the LCM equation.

GCF(32616,32625) = 9
LCM(32616,32625) = ( 32616 × 32625) / 9
LCM(32616,32625) = 1064097000 / 9
LCM(32616,32625) = 118233000

Least Common Multiple (LCM) of 32616 and 32625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32616 and 32625. First we will calculate the prime factors of 32616 and 32625.

Prime Factorization of 32616

Prime Factorization of 32625

Now multiplying the highest exponent prime factors to calculate the LCM of 32616 and 32625.

LCM(32616,32625) = 2³ × 3³ × 151¹ × 5³ × 29¹
LCM(32616,32625) = 118233000