What is the Least Common Multiple of 87723 and 87735?

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 87723 and 87735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87723 and 87735, than apply into the LCM equation.

GCF(87723,87735) = 3
LCM(87723,87735) = ( 87723 × 87735) / 3
LCM(87723,87735) = 7696377405 / 3
LCM(87723,87735) = 2565459135

Least Common Multiple (LCM) of 87723 and 87735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87723 and 87735. First we will calculate the prime factors of 87723 and 87735.

Prime Factorization of 87723

Prime Factorization of 87735

Now multiplying the highest exponent prime factors to calculate the LCM of 87723 and 87735.

LCM(87723,87735) = 3⁵ × 19² × 5¹ × 5849¹
LCM(87723,87735) = 2565459135