What is the Least Common Multiple of 25920 and 25925?

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 25920 and 25925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25920 and 25925, than apply into the LCM equation.

GCF(25920,25925) = 5
LCM(25920,25925) = ( 25920 × 25925) / 5
LCM(25920,25925) = 671976000 / 5
LCM(25920,25925) = 134395200

Least Common Multiple (LCM) of 25920 and 25925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25920 and 25925. First we will calculate the prime factors of 25920 and 25925.

Prime Factorization of 25920

Prime Factorization of 25925

Now multiplying the highest exponent prime factors to calculate the LCM of 25920 and 25925.

LCM(25920,25925) = 2⁶ × 3⁴ × 5² × 17¹ × 61¹
LCM(25920,25925) = 134395200