What is the Least Common Multiple of 25688 and 25700?

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 25688 and 25700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25688 and 25700, than apply into the LCM equation.

GCF(25688,25700) = 4
LCM(25688,25700) = ( 25688 × 25700) / 4
LCM(25688,25700) = 660181600 / 4
LCM(25688,25700) = 165045400

Least Common Multiple (LCM) of 25688 and 25700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25688 and 25700. First we will calculate the prime factors of 25688 and 25700.

Prime Factorization of 25688

Prime Factorization of 25700

Now multiplying the highest exponent prime factors to calculate the LCM of 25688 and 25700.

LCM(25688,25700) = 2³ × 13² × 19¹ × 5² × 257¹
LCM(25688,25700) = 165045400