What is the Least Common Multiple of 21115 and 21132?

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 21115 and 21132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21115 and 21132, than apply into the LCM equation.

GCF(21115,21132) = 1
LCM(21115,21132) = ( 21115 × 21132) / 1
LCM(21115,21132) = 446202180 / 1
LCM(21115,21132) = 446202180

Least Common Multiple (LCM) of 21115 and 21132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21115 and 21132. First we will calculate the prime factors of 21115 and 21132.

Prime Factorization of 21115

Prime Factorization of 21132

Now multiplying the highest exponent prime factors to calculate the LCM of 21115 and 21132.

LCM(21115,21132) = 5¹ × 41¹ × 103¹ × 2² × 3² × 587¹
LCM(21115,21132) = 446202180