What is the Least Common Multiple of 20632 and 20646?

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 20632 and 20646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20632 and 20646, than apply into the LCM equation.

GCF(20632,20646) = 2
LCM(20632,20646) = ( 20632 × 20646) / 2
LCM(20632,20646) = 425968272 / 2
LCM(20632,20646) = 212984136

Least Common Multiple (LCM) of 20632 and 20646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20632 and 20646. First we will calculate the prime factors of 20632 and 20646.

Prime Factorization of 20632

Prime Factorization of 20646

Now multiplying the highest exponent prime factors to calculate the LCM of 20632 and 20646.

LCM(20632,20646) = 2³ × 2579¹ × 3² × 31¹ × 37¹
LCM(20632,20646) = 212984136