What is the Least Common Multiple of 25494 and 25500?

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 25494 and 25500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25494 and 25500, than apply into the LCM equation.

GCF(25494,25500) = 6
LCM(25494,25500) = ( 25494 × 25500) / 6
LCM(25494,25500) = 650097000 / 6
LCM(25494,25500) = 108349500

Least Common Multiple (LCM) of 25494 and 25500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25494 and 25500. First we will calculate the prime factors of 25494 and 25500.

Prime Factorization of 25494

Prime Factorization of 25500

Now multiplying the highest exponent prime factors to calculate the LCM of 25494 and 25500.

LCM(25494,25500) = 2² × 3¹ × 7¹ × 607¹ × 5³ × 17¹
LCM(25494,25500) = 108349500