What is the Least Common Multiple of 16909 and 16926?

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 16909 and 16926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16909 and 16926, than apply into the LCM equation.

GCF(16909,16926) = 1
LCM(16909,16926) = ( 16909 × 16926) / 1
LCM(16909,16926) = 286201734 / 1
LCM(16909,16926) = 286201734

Least Common Multiple (LCM) of 16909 and 16926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16909 and 16926. First we will calculate the prime factors of 16909 and 16926.

Prime Factorization of 16909

Prime Factorization of 16926

Now multiplying the highest exponent prime factors to calculate the LCM of 16909 and 16926.

LCM(16909,16926) = 37¹ × 457¹ × 2¹ × 3¹ × 7¹ × 13¹ × 31¹
LCM(16909,16926) = 286201734