What is the Least Common Multiple of 17900 and 17917?

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 17900 and 17917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17900 and 17917, than apply into the LCM equation.

GCF(17900,17917) = 1
LCM(17900,17917) = ( 17900 × 17917) / 1
LCM(17900,17917) = 320714300 / 1
LCM(17900,17917) = 320714300

Least Common Multiple (LCM) of 17900 and 17917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17900 and 17917. First we will calculate the prime factors of 17900 and 17917.

Prime Factorization of 17900

Prime Factorization of 17917

Now multiplying the highest exponent prime factors to calculate the LCM of 17900 and 17917.

LCM(17900,17917) = 2² × 5² × 179¹ × 19¹ × 23¹ × 41¹
LCM(17900,17917) = 320714300