What is the Least Common Multiple of 18720 and 18725?

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 18720 and 18725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18720 and 18725, than apply into the LCM equation.

GCF(18720,18725) = 5
LCM(18720,18725) = ( 18720 × 18725) / 5
LCM(18720,18725) = 350532000 / 5
LCM(18720,18725) = 70106400

Least Common Multiple (LCM) of 18720 and 18725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18720 and 18725. First we will calculate the prime factors of 18720 and 18725.

Prime Factorization of 18720

Prime Factorization of 18725

Now multiplying the highest exponent prime factors to calculate the LCM of 18720 and 18725.

LCM(18720,18725) = 2⁵ × 3² × 5² × 13¹ × 7¹ × 107¹
LCM(18720,18725) = 70106400