What is the Least Common Multiple of 2872 and 2887?

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 2887 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 2887, than apply into the LCM equation.

GCF(2872,2887) = 1
LCM(2872,2887) = ( 2872 × 2887) / 1
LCM(2872,2887) = 8291464 / 1
LCM(2872,2887) = 8291464

Least Common Multiple (LCM) of 2872 and 2887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2872 and 2887. First we will calculate the prime factors of 2872 and 2887.

Prime Factorization of 2872

Prime Factorization of 2887

Now multiplying the highest exponent prime factors to calculate the LCM of 2872 and 2887.

LCM(2872,2887) = 2³ × 359¹ × 2887¹
LCM(2872,2887) = 8291464