What is the Least Common Multiple of 9720 and 9725?

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 9720 and 9725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9720 and 9725, than apply into the LCM equation.

GCF(9720,9725) = 5
LCM(9720,9725) = ( 9720 × 9725) / 5
LCM(9720,9725) = 94527000 / 5
LCM(9720,9725) = 18905400

Least Common Multiple (LCM) of 9720 and 9725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9720 and 9725. First we will calculate the prime factors of 9720 and 9725.

Prime Factorization of 9720

Prime Factorization of 9725

Now multiplying the highest exponent prime factors to calculate the LCM of 9720 and 9725.

LCM(9720,9725) = 2³ × 3⁵ × 5² × 389¹
LCM(9720,9725) = 18905400