What is the Least Common Multiple of 18717 and 18735?

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 18717 and 18735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18717 and 18735, than apply into the LCM equation.

GCF(18717,18735) = 3
LCM(18717,18735) = ( 18717 × 18735) / 3
LCM(18717,18735) = 350662995 / 3
LCM(18717,18735) = 116887665

Least Common Multiple (LCM) of 18717 and 18735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18717 and 18735. First we will calculate the prime factors of 18717 and 18735.

Prime Factorization of 18717

Prime Factorization of 18735

Now multiplying the highest exponent prime factors to calculate the LCM of 18717 and 18735.

LCM(18717,18735) = 3¹ × 17¹ × 367¹ × 5¹ × 1249¹
LCM(18717,18735) = 116887665