What is the Least Common Multiple of 81735 and 81741?

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 81735 and 81741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81735 and 81741, than apply into the LCM equation.

GCF(81735,81741) = 3
LCM(81735,81741) = ( 81735 × 81741) / 3
LCM(81735,81741) = 6681100635 / 3
LCM(81735,81741) = 2227033545

Least Common Multiple (LCM) of 81735 and 81741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81735 and 81741. First we will calculate the prime factors of 81735 and 81741.

Prime Factorization of 81735

Prime Factorization of 81741

Now multiplying the highest exponent prime factors to calculate the LCM of 81735 and 81741.

LCM(81735,81741) = 3¹ × 5¹ × 5449¹ × 11¹ × 2477¹
LCM(81735,81741) = 2227033545