What is the Least Common Multiple of 81709 and 81725?

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 81709 and 81725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81709 and 81725, than apply into the LCM equation.

GCF(81709,81725) = 1
LCM(81709,81725) = ( 81709 × 81725) / 1
LCM(81709,81725) = 6677668025 / 1
LCM(81709,81725) = 6677668025

Least Common Multiple (LCM) of 81709 and 81725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81709 and 81725. First we will calculate the prime factors of 81709 and 81725.

Prime Factorization of 81709

Prime Factorization of 81725

Now multiplying the highest exponent prime factors to calculate the LCM of 81709 and 81725.

LCM(81709,81725) = 101¹ × 809¹ × 5² × 7¹ × 467¹
LCM(81709,81725) = 6677668025