What is the Least Common Multiple of 72709 and 72725?

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 72709 and 72725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72709 and 72725, than apply into the LCM equation.

GCF(72709,72725) = 1
LCM(72709,72725) = ( 72709 × 72725) / 1
LCM(72709,72725) = 5287762025 / 1
LCM(72709,72725) = 5287762025

Least Common Multiple (LCM) of 72709 and 72725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72709 and 72725. First we will calculate the prime factors of 72709 and 72725.

Prime Factorization of 72709

Prime Factorization of 72725

Now multiplying the highest exponent prime factors to calculate the LCM of 72709 and 72725.

LCM(72709,72725) = 7¹ × 13¹ × 17¹ × 47¹ × 5² × 2909¹
LCM(72709,72725) = 5287762025