What is the Least Common Multiple of 20872 and 20884?

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 20884 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 20884, than apply into the LCM equation.

GCF(20872,20884) = 4
LCM(20872,20884) = ( 20872 × 20884) / 4
LCM(20872,20884) = 435890848 / 4
LCM(20872,20884) = 108972712

Least Common Multiple (LCM) of 20872 and 20884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20872 and 20884. First we will calculate the prime factors of 20872 and 20884.

Prime Factorization of 20872

Prime Factorization of 20884

Now multiplying the highest exponent prime factors to calculate the LCM of 20872 and 20884.

LCM(20872,20884) = 2³ × 2609¹ × 23¹ × 227¹
LCM(20872,20884) = 108972712