What is the Least Common Multiple of 81726 and 81735?

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 81726 and 81735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81726 and 81735, than apply into the LCM equation.

GCF(81726,81735) = 3
LCM(81726,81735) = ( 81726 × 81735) / 3
LCM(81726,81735) = 6679874610 / 3
LCM(81726,81735) = 2226624870

Least Common Multiple (LCM) of 81726 and 81735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81726 and 81735. First we will calculate the prime factors of 81726 and 81735.

Prime Factorization of 81726

Prime Factorization of 81735

Now multiplying the highest exponent prime factors to calculate the LCM of 81726 and 81735.

LCM(81726,81735) = 2¹ × 3¹ × 53¹ × 257¹ × 5¹ × 5449¹
LCM(81726,81735) = 2226624870