What is the Least Common Multiple of 2868 and 2877?

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 2868 and 2877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2868 and 2877, than apply into the LCM equation.

GCF(2868,2877) = 3
LCM(2868,2877) = ( 2868 × 2877) / 3
LCM(2868,2877) = 8251236 / 3
LCM(2868,2877) = 2750412

Least Common Multiple (LCM) of 2868 and 2877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2868 and 2877. First we will calculate the prime factors of 2868 and 2877.

Prime Factorization of 2868

Prime Factorization of 2877

Now multiplying the highest exponent prime factors to calculate the LCM of 2868 and 2877.

LCM(2868,2877) = 2² × 3¹ × 239¹ × 7¹ × 137¹
LCM(2868,2877) = 2750412