What is the Least Common Multiple of 25404 and 25410?

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 25410 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 25410, than apply into the LCM equation.

GCF(25404,25410) = 6
LCM(25404,25410) = ( 25404 × 25410) / 6
LCM(25404,25410) = 645515640 / 6
LCM(25404,25410) = 107585940

Least Common Multiple (LCM) of 25404 and 25410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25404 and 25410. First we will calculate the prime factors of 25404 and 25410.

Prime Factorization of 25404

Prime Factorization of 25410

Now multiplying the highest exponent prime factors to calculate the LCM of 25404 and 25410.

LCM(25404,25410) = 2² × 3¹ × 29¹ × 73¹ × 5¹ × 7¹ × 11²
LCM(25404,25410) = 107585940