What is the Least Common Multiple of 12674 and 12682?

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 12674 and 12682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12674 and 12682, than apply into the LCM equation.

GCF(12674,12682) = 2
LCM(12674,12682) = ( 12674 × 12682) / 2
LCM(12674,12682) = 160731668 / 2
LCM(12674,12682) = 80365834

Least Common Multiple (LCM) of 12674 and 12682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12674 and 12682. First we will calculate the prime factors of 12674 and 12682.

Prime Factorization of 12674

Prime Factorization of 12682

Now multiplying the highest exponent prime factors to calculate the LCM of 12674 and 12682.

LCM(12674,12682) = 2¹ × 6337¹ × 17¹ × 373¹
LCM(12674,12682) = 80365834