What is the Least Common Multiple of 2856 and 2870?

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 2856 and 2870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2856 and 2870, than apply into the LCM equation.

GCF(2856,2870) = 14
LCM(2856,2870) = ( 2856 × 2870) / 14
LCM(2856,2870) = 8196720 / 14
LCM(2856,2870) = 585480

Least Common Multiple (LCM) of 2856 and 2870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2856 and 2870. First we will calculate the prime factors of 2856 and 2870.

Prime Factorization of 2856

Prime Factorization of 2870

Now multiplying the highest exponent prime factors to calculate the LCM of 2856 and 2870.

LCM(2856,2870) = 2³ × 3¹ × 7¹ × 17¹ × 5¹ × 41¹
LCM(2856,2870) = 585480