What is the Least Common Multiple of 12894 and 12898?

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 12894 and 12898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12894 and 12898, than apply into the LCM equation.

GCF(12894,12898) = 2
LCM(12894,12898) = ( 12894 × 12898) / 2
LCM(12894,12898) = 166306812 / 2
LCM(12894,12898) = 83153406

Least Common Multiple (LCM) of 12894 and 12898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12894 and 12898. First we will calculate the prime factors of 12894 and 12898.

Prime Factorization of 12894

Prime Factorization of 12898

Now multiplying the highest exponent prime factors to calculate the LCM of 12894 and 12898.

LCM(12894,12898) = 2¹ × 3¹ × 7¹ × 307¹ × 6449¹
LCM(12894,12898) = 83153406