What is the Least Common Multiple of 12914 and 12925?

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 12925 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 12925, than apply into the LCM equation.

GCF(12914,12925) = 11
LCM(12914,12925) = ( 12914 × 12925) / 11
LCM(12914,12925) = 166913450 / 11
LCM(12914,12925) = 15173950

Least Common Multiple (LCM) of 12914 and 12925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12914 and 12925. First we will calculate the prime factors of 12914 and 12925.

Prime Factorization of 12914

Prime Factorization of 12925

Now multiplying the highest exponent prime factors to calculate the LCM of 12914 and 12925.

LCM(12914,12925) = 2¹ × 11¹ × 587¹ × 5² × 47¹
LCM(12914,12925) = 15173950