What is the Least Common Multiple of 28720 and 28725?

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 28720 and 28725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28720 and 28725, than apply into the LCM equation.

GCF(28720,28725) = 5
LCM(28720,28725) = ( 28720 × 28725) / 5
LCM(28720,28725) = 824982000 / 5
LCM(28720,28725) = 164996400

Least Common Multiple (LCM) of 28720 and 28725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28720 and 28725. First we will calculate the prime factors of 28720 and 28725.

Prime Factorization of 28720

Prime Factorization of 28725

Now multiplying the highest exponent prime factors to calculate the LCM of 28720 and 28725.

LCM(28720,28725) = 2⁴ × 5² × 359¹ × 3¹ × 383¹
LCM(28720,28725) = 164996400