What is the Least Common Multiple of 25700 and 25720?

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 25700 and 25720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25700 and 25720, than apply into the LCM equation.

GCF(25700,25720) = 20
LCM(25700,25720) = ( 25700 × 25720) / 20
LCM(25700,25720) = 661004000 / 20
LCM(25700,25720) = 33050200

Least Common Multiple (LCM) of 25700 and 25720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25700 and 25720. First we will calculate the prime factors of 25700 and 25720.

Prime Factorization of 25700

Prime Factorization of 25720

Now multiplying the highest exponent prime factors to calculate the LCM of 25700 and 25720.

LCM(25700,25720) = 2³ × 5² × 257¹ × 643¹
LCM(25700,25720) = 33050200