What is the Least Common Multiple of 25404 and 25422?

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 25404 and 25422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25404 and 25422, than apply into the LCM equation.

GCF(25404,25422) = 6
LCM(25404,25422) = ( 25404 × 25422) / 6
LCM(25404,25422) = 645820488 / 6
LCM(25404,25422) = 107636748

Least Common Multiple (LCM) of 25404 and 25422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25404 and 25422. First we will calculate the prime factors of 25404 and 25422.

Prime Factorization of 25404

Prime Factorization of 25422

Now multiplying the highest exponent prime factors to calculate the LCM of 25404 and 25422.

LCM(25404,25422) = 2² × 3¹ × 29¹ × 73¹ × 19¹ × 223¹
LCM(25404,25422) = 107636748