What is the Least Common Multiple of 25625 and 25645?

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 25625 and 25645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25625 and 25645, than apply into the LCM equation.

GCF(25625,25645) = 5
LCM(25625,25645) = ( 25625 × 25645) / 5
LCM(25625,25645) = 657153125 / 5
LCM(25625,25645) = 131430625

Least Common Multiple (LCM) of 25625 and 25645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25625 and 25645. First we will calculate the prime factors of 25625 and 25645.

Prime Factorization of 25625

Prime Factorization of 25645

Now multiplying the highest exponent prime factors to calculate the LCM of 25625 and 25645.

LCM(25625,25645) = 5⁴ × 41¹ × 23¹ × 223¹
LCM(25625,25645) = 131430625