What is the Least Common Multiple of 12854 and 12859?

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 12859 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 12859, than apply into the LCM equation.

GCF(12854,12859) = 1
LCM(12854,12859) = ( 12854 × 12859) / 1
LCM(12854,12859) = 165289586 / 1
LCM(12854,12859) = 165289586

Least Common Multiple (LCM) of 12854 and 12859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12854 and 12859. First we will calculate the prime factors of 12854 and 12859.

Prime Factorization of 12854

Prime Factorization of 12859

Now multiplying the highest exponent prime factors to calculate the LCM of 12854 and 12859.

LCM(12854,12859) = 2¹ × 6427¹ × 7¹ × 11¹ × 167¹
LCM(12854,12859) = 165289586