What is the Least Common Multiple of 17917 and 17936?

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 17917 and 17936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17917 and 17936, than apply into the LCM equation.

GCF(17917,17936) = 19
LCM(17917,17936) = ( 17917 × 17936) / 19
LCM(17917,17936) = 321359312 / 19
LCM(17917,17936) = 16913648

Least Common Multiple (LCM) of 17917 and 17936 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17917 and 17936. First we will calculate the prime factors of 17917 and 17936.

Prime Factorization of 17917

Prime Factorization of 17936

Now multiplying the highest exponent prime factors to calculate the LCM of 17917 and 17936.

LCM(17917,17936) = 19¹ × 23¹ × 41¹ × 2⁴ × 59¹
LCM(17917,17936) = 16913648