GCF and LCM Calculator Logo

What is the Least Common Multiple of 18317 and 18337?

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 (LCM) of 18317 and 18337 is 335878829.

LCM(18317,18337) = 335878829

LCM Calculator and
and

Least Common Multiple of 18317 and 18337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18317 and 18337, than apply into the LCM equation.

GCF(18317,18337) = 1
LCM(18317,18337) = ( 18317 × 18337) / 1
LCM(18317,18337) = 335878829 / 1
LCM(18317,18337) = 335878829

Least Common Multiple (LCM) of 18317 and 18337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18317 and 18337. First we will calculate the prime factors of 18317 and 18337.

Prime Factorization of 18317

Prime factors of 18317 are 13, 1409. Prime factorization of 18317 in exponential form is:

18317 = 131 × 14091

Prime Factorization of 18337

Prime factors of 18337 are 11, 1667. Prime factorization of 18337 in exponential form is:

18337 = 111 × 16671

Now multiplying the highest exponent prime factors to calculate the LCM of 18317 and 18337.

LCM(18317,18337) = 131 × 14091 × 111 × 16671
LCM(18317,18337) = 335878829