What is the Least Common Multiple of 25425 and 25440?

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 25425 and 25440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25425 and 25440, than apply into the LCM equation.

GCF(25425,25440) = 15
LCM(25425,25440) = ( 25425 × 25440) / 15
LCM(25425,25440) = 646812000 / 15
LCM(25425,25440) = 43120800

Least Common Multiple (LCM) of 25425 and 25440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25425 and 25440. First we will calculate the prime factors of 25425 and 25440.

Prime Factorization of 25425

Prime Factorization of 25440

Now multiplying the highest exponent prime factors to calculate the LCM of 25425 and 25440.

LCM(25425,25440) = 3² × 5² × 113¹ × 2⁵ × 53¹
LCM(25425,25440) = 43120800