What is the Least Common Multiple of 2889 and 2895?

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 2889 and 2895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2889 and 2895, than apply into the LCM equation.

GCF(2889,2895) = 3
LCM(2889,2895) = ( 2889 × 2895) / 3
LCM(2889,2895) = 8363655 / 3
LCM(2889,2895) = 2787885

Least Common Multiple (LCM) of 2889 and 2895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2889 and 2895. First we will calculate the prime factors of 2889 and 2895.

Prime Factorization of 2889

Prime Factorization of 2895

Now multiplying the highest exponent prime factors to calculate the LCM of 2889 and 2895.

LCM(2889,2895) = 3³ × 107¹ × 5¹ × 193¹
LCM(2889,2895) = 2787885