What is the Least Common Multiple of 27723 and 27735?

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 27723 and 27735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27723 and 27735, than apply into the LCM equation.

GCF(27723,27735) = 3
LCM(27723,27735) = ( 27723 × 27735) / 3
LCM(27723,27735) = 768897405 / 3
LCM(27723,27735) = 256299135

Least Common Multiple (LCM) of 27723 and 27735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27723 and 27735. First we will calculate the prime factors of 27723 and 27735.

Prime Factorization of 27723

Prime Factorization of 27735

Now multiplying the highest exponent prime factors to calculate the LCM of 27723 and 27735.

LCM(27723,27735) = 3¹ × 9241¹ × 5¹ × 43²
LCM(27723,27735) = 256299135