What is the Least Common Multiple of 20872 and 20886?

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 20872 and 20886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20872 and 20886, than apply into the LCM equation.

GCF(20872,20886) = 2
LCM(20872,20886) = ( 20872 × 20886) / 2
LCM(20872,20886) = 435932592 / 2
LCM(20872,20886) = 217966296

Least Common Multiple (LCM) of 20872 and 20886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20872 and 20886. First we will calculate the prime factors of 20872 and 20886.

Prime Factorization of 20872

Prime Factorization of 20886

Now multiplying the highest exponent prime factors to calculate the LCM of 20872 and 20886.

LCM(20872,20886) = 2³ × 2609¹ × 3¹ × 59²
LCM(20872,20886) = 217966296