What is the Least Common Multiple of 21132 and 21142?

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 21132 and 21142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21132 and 21142, than apply into the LCM equation.

GCF(21132,21142) = 2
LCM(21132,21142) = ( 21132 × 21142) / 2
LCM(21132,21142) = 446772744 / 2
LCM(21132,21142) = 223386372

Least Common Multiple (LCM) of 21132 and 21142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21132 and 21142. First we will calculate the prime factors of 21132 and 21142.

Prime Factorization of 21132

Prime Factorization of 21142

Now multiplying the highest exponent prime factors to calculate the LCM of 21132 and 21142.

LCM(21132,21142) = 2² × 3² × 587¹ × 11¹ × 31²
LCM(21132,21142) = 223386372