What is the Least Common Multiple of 2872 and 2891?

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 2872 and 2891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2872 and 2891, than apply into the LCM equation.

GCF(2872,2891) = 1
LCM(2872,2891) = ( 2872 × 2891) / 1
LCM(2872,2891) = 8302952 / 1
LCM(2872,2891) = 8302952

Least Common Multiple (LCM) of 2872 and 2891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2872 and 2891. First we will calculate the prime factors of 2872 and 2891.

Prime Factorization of 2872

Prime Factorization of 2891

Now multiplying the highest exponent prime factors to calculate the LCM of 2872 and 2891.

LCM(2872,2891) = 2³ × 359¹ × 7² × 59¹
LCM(2872,2891) = 8302952