What is the Least Common Multiple of 20872 and 20876?

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 20876 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 20876, than apply into the LCM equation.

GCF(20872,20876) = 4
LCM(20872,20876) = ( 20872 × 20876) / 4
LCM(20872,20876) = 435723872 / 4
LCM(20872,20876) = 108930968

Least Common Multiple (LCM) of 20872 and 20876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20872 and 20876. First we will calculate the prime factors of 20872 and 20876.

Prime Factorization of 20872

Prime Factorization of 20876

Now multiplying the highest exponent prime factors to calculate the LCM of 20872 and 20876.

LCM(20872,20876) = 2³ × 2609¹ × 17¹ × 307¹
LCM(20872,20876) = 108930968