What is the Least Common Multiple of 20715 and 20735?

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 20715 and 20735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20715 and 20735, than apply into the LCM equation.

GCF(20715,20735) = 5
LCM(20715,20735) = ( 20715 × 20735) / 5
LCM(20715,20735) = 429525525 / 5
LCM(20715,20735) = 85905105

Least Common Multiple (LCM) of 20715 and 20735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20715 and 20735. First we will calculate the prime factors of 20715 and 20735.

Prime Factorization of 20715

Prime Factorization of 20735

Now multiplying the highest exponent prime factors to calculate the LCM of 20715 and 20735.

LCM(20715,20735) = 3¹ × 5¹ × 1381¹ × 11¹ × 13¹ × 29¹
LCM(20715,20735) = 85905105