What is the Least Common Multiple of 2875 and 2884?

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 2875 and 2884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2875 and 2884, than apply into the LCM equation.

GCF(2875,2884) = 1
LCM(2875,2884) = ( 2875 × 2884) / 1
LCM(2875,2884) = 8291500 / 1
LCM(2875,2884) = 8291500

Least Common Multiple (LCM) of 2875 and 2884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2875 and 2884. First we will calculate the prime factors of 2875 and 2884.

Prime Factorization of 2875

Prime Factorization of 2884

Now multiplying the highest exponent prime factors to calculate the LCM of 2875 and 2884.

LCM(2875,2884) = 5³ × 23¹ × 2² × 7¹ × 103¹
LCM(2875,2884) = 8291500