What is the Least Common Multiple of 2877 and 2883?

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 2877 and 2883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2877 and 2883, than apply into the LCM equation.

GCF(2877,2883) = 3
LCM(2877,2883) = ( 2877 × 2883) / 3
LCM(2877,2883) = 8294391 / 3
LCM(2877,2883) = 2764797

Least Common Multiple (LCM) of 2877 and 2883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2877 and 2883. First we will calculate the prime factors of 2877 and 2883.

Prime Factorization of 2877

Prime Factorization of 2883

Now multiplying the highest exponent prime factors to calculate the LCM of 2877 and 2883.

LCM(2877,2883) = 3¹ × 7¹ × 137¹ × 31²
LCM(2877,2883) = 2764797