What is the Least Common Multiple of 63709 and 63725?

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 63709 and 63725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63709 and 63725, than apply into the LCM equation.

GCF(63709,63725) = 1
LCM(63709,63725) = ( 63709 × 63725) / 1
LCM(63709,63725) = 4059856025 / 1
LCM(63709,63725) = 4059856025

Least Common Multiple (LCM) of 63709 and 63725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63709 and 63725. First we will calculate the prime factors of 63709 and 63725.

Prime Factorization of 63709

Prime Factorization of 63725

Now multiplying the highest exponent prime factors to calculate the LCM of 63709 and 63725.

LCM(63709,63725) = 63709¹ × 5² × 2549¹
LCM(63709,63725) = 4059856025