What is the Least Common Multiple of 12914 and 12934?

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 12914 and 12934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12914 and 12934, than apply into the LCM equation.

GCF(12914,12934) = 2
LCM(12914,12934) = ( 12914 × 12934) / 2
LCM(12914,12934) = 167029676 / 2
LCM(12914,12934) = 83514838

Least Common Multiple (LCM) of 12914 and 12934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12914 and 12934. First we will calculate the prime factors of 12914 and 12934.

Prime Factorization of 12914

Prime Factorization of 12934

Now multiplying the highest exponent prime factors to calculate the LCM of 12914 and 12934.

LCM(12914,12934) = 2¹ × 11¹ × 587¹ × 29¹ × 223¹
LCM(12914,12934) = 83514838