What is the Least Common Multiple of 81709 and 81728?

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 81728 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 81728, than apply into the LCM equation.

GCF(81709,81728) = 1
LCM(81709,81728) = ( 81709 × 81728) / 1
LCM(81709,81728) = 6677913152 / 1
LCM(81709,81728) = 6677913152

Least Common Multiple (LCM) of 81709 and 81728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81709 and 81728. First we will calculate the prime factors of 81709 and 81728.

Prime Factorization of 81709

Prime Factorization of 81728

Now multiplying the highest exponent prime factors to calculate the LCM of 81709 and 81728.

LCM(81709,81728) = 101¹ × 809¹ × 2⁶ × 1277¹
LCM(81709,81728) = 6677913152