What is the Least Common Multiple of 17616 and 17625?

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 17616 and 17625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17616 and 17625, than apply into the LCM equation.

GCF(17616,17625) = 3
LCM(17616,17625) = ( 17616 × 17625) / 3
LCM(17616,17625) = 310482000 / 3
LCM(17616,17625) = 103494000

Least Common Multiple (LCM) of 17616 and 17625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17616 and 17625. First we will calculate the prime factors of 17616 and 17625.

Prime Factorization of 17616

Prime Factorization of 17625

Now multiplying the highest exponent prime factors to calculate the LCM of 17616 and 17625.

LCM(17616,17625) = 2⁴ × 3¹ × 367¹ × 5³ × 47¹
LCM(17616,17625) = 103494000