What is the Least Common Multiple of 11715 and 11735?

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 11715 and 11735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11715 and 11735, than apply into the LCM equation.

GCF(11715,11735) = 5
LCM(11715,11735) = ( 11715 × 11735) / 5
LCM(11715,11735) = 137475525 / 5
LCM(11715,11735) = 27495105

Least Common Multiple (LCM) of 11715 and 11735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11715 and 11735. First we will calculate the prime factors of 11715 and 11735.

Prime Factorization of 11715

Prime Factorization of 11735

Now multiplying the highest exponent prime factors to calculate the LCM of 11715 and 11735.

LCM(11715,11735) = 3¹ × 5¹ × 11¹ × 71¹ × 2347¹
LCM(11715,11735) = 27495105