What is the Least Common Multiple of 20871 and 20879?

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 20871 and 20879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20871 and 20879, than apply into the LCM equation.

GCF(20871,20879) = 1
LCM(20871,20879) = ( 20871 × 20879) / 1
LCM(20871,20879) = 435765609 / 1
LCM(20871,20879) = 435765609

Least Common Multiple (LCM) of 20871 and 20879 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20871 and 20879. First we will calculate the prime factors of 20871 and 20879.

Prime Factorization of 20871

Prime Factorization of 20879

Now multiplying the highest exponent prime factors to calculate the LCM of 20871 and 20879.

LCM(20871,20879) = 3³ × 773¹ × 20879¹
LCM(20871,20879) = 435765609