What is the Least Common Multiple of 93723 and 93735?

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 93723 and 93735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93723 and 93735, than apply into the LCM equation.

GCF(93723,93735) = 3
LCM(93723,93735) = ( 93723 × 93735) / 3
LCM(93723,93735) = 8785125405 / 3
LCM(93723,93735) = 2928375135

Least Common Multiple (LCM) of 93723 and 93735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93723 and 93735. First we will calculate the prime factors of 93723 and 93735.

Prime Factorization of 93723

Prime Factorization of 93735

Now multiplying the highest exponent prime factors to calculate the LCM of 93723 and 93735.

LCM(93723,93735) = 3² × 7¹ × 4463¹ × 5¹ × 2083¹
LCM(93723,93735) = 2928375135