What is the Least Common Multiple of 12909 and 12917?

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 12909 and 12917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12909 and 12917, than apply into the LCM equation.

GCF(12909,12917) = 1
LCM(12909,12917) = ( 12909 × 12917) / 1
LCM(12909,12917) = 166745553 / 1
LCM(12909,12917) = 166745553

Least Common Multiple (LCM) of 12909 and 12917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12909 and 12917. First we will calculate the prime factors of 12909 and 12917.

Prime Factorization of 12909

Prime Factorization of 12917

Now multiplying the highest exponent prime factors to calculate the LCM of 12909 and 12917.

LCM(12909,12917) = 3¹ × 13¹ × 331¹ × 12917¹
LCM(12909,12917) = 166745553