What is the Least Common Multiple of 25395 and 25404?

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 25395 and 25404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25395 and 25404, than apply into the LCM equation.

GCF(25395,25404) = 3
LCM(25395,25404) = ( 25395 × 25404) / 3
LCM(25395,25404) = 645134580 / 3
LCM(25395,25404) = 215044860

Least Common Multiple (LCM) of 25395 and 25404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25395 and 25404. First we will calculate the prime factors of 25395 and 25404.

Prime Factorization of 25395

Prime Factorization of 25404

Now multiplying the highest exponent prime factors to calculate the LCM of 25395 and 25404.

LCM(25395,25404) = 3¹ × 5¹ × 1693¹ × 2² × 29¹ × 73¹
LCM(25395,25404) = 215044860