What is the Least Common Multiple of 25680 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 25680 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 25680 and 25700, than apply into the LCM equation.

GCF(25680,25700) = 20
LCM(25680,25700) = ( 25680 × 25700) / 20
LCM(25680,25700) = 659976000 / 20
LCM(25680,25700) = 32998800

Least Common Multiple (LCM) of 25680 and 25700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25680 and 25700. First we will calculate the prime factors of 25680 and 25700.

Prime Factorization of 25680

Prime Factorization of 25700

Now multiplying the highest exponent prime factors to calculate the LCM of 25680 and 25700.

LCM(25680,25700) = 2⁴ × 3¹ × 5² × 107¹ × 257¹
LCM(25680,25700) = 32998800