What is the Least Common Multiple of 12854 and 12868?

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 12854 and 12868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12854 and 12868, than apply into the LCM equation.

GCF(12854,12868) = 2
LCM(12854,12868) = ( 12854 × 12868) / 2
LCM(12854,12868) = 165405272 / 2
LCM(12854,12868) = 82702636

Least Common Multiple (LCM) of 12854 and 12868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12854 and 12868. First we will calculate the prime factors of 12854 and 12868.

Prime Factorization of 12854

Prime Factorization of 12868

Now multiplying the highest exponent prime factors to calculate the LCM of 12854 and 12868.

LCM(12854,12868) = 2² × 6427¹ × 3217¹
LCM(12854,12868) = 82702636