What is the Least Common Multiple of 2715 and 2735?

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 2715 and 2735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2715 and 2735, than apply into the LCM equation.

GCF(2715,2735) = 5
LCM(2715,2735) = ( 2715 × 2735) / 5
LCM(2715,2735) = 7425525 / 5
LCM(2715,2735) = 1485105

Least Common Multiple (LCM) of 2715 and 2735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2715 and 2735. First we will calculate the prime factors of 2715 and 2735.

Prime Factorization of 2715

Prime Factorization of 2735

Now multiplying the highest exponent prime factors to calculate the LCM of 2715 and 2735.

LCM(2715,2735) = 3¹ × 5¹ × 181¹ × 547¹
LCM(2715,2735) = 1485105