What is the Least Common Multiple of 2856 and 2868?

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 2868 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 2868, than apply into the LCM equation.

GCF(2856,2868) = 12
LCM(2856,2868) = ( 2856 × 2868) / 12
LCM(2856,2868) = 8191008 / 12
LCM(2856,2868) = 682584

Least Common Multiple (LCM) of 2856 and 2868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2856 and 2868. First we will calculate the prime factors of 2856 and 2868.

Prime Factorization of 2856

Prime Factorization of 2868

Now multiplying the highest exponent prime factors to calculate the LCM of 2856 and 2868.

LCM(2856,2868) = 2³ × 3¹ × 7¹ × 17¹ × 239¹
LCM(2856,2868) = 682584