What is the Least Common Multiple of 25616 and 25625?

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 25616 and 25625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25616 and 25625, than apply into the LCM equation.

GCF(25616,25625) = 1
LCM(25616,25625) = ( 25616 × 25625) / 1
LCM(25616,25625) = 656410000 / 1
LCM(25616,25625) = 656410000

Least Common Multiple (LCM) of 25616 and 25625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25616 and 25625. First we will calculate the prime factors of 25616 and 25625.

Prime Factorization of 25616

Prime Factorization of 25625

Now multiplying the highest exponent prime factors to calculate the LCM of 25616 and 25625.

LCM(25616,25625) = 2⁴ × 1601¹ × 5⁴ × 41¹
LCM(25616,25625) = 656410000