GCF and LCM Calculator Logo

What is the Least Common Multiple of 18319 and 18326?

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 18319 and 18326 is 47959142.

LCM(18319,18326) = 47959142

LCM Calculator and
and

Least Common Multiple of 18319 and 18326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18319 and 18326, than apply into the LCM equation.

GCF(18319,18326) = 7
LCM(18319,18326) = ( 18319 × 18326) / 7
LCM(18319,18326) = 335713994 / 7
LCM(18319,18326) = 47959142

Least Common Multiple (LCM) of 18319 and 18326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18319 and 18326. First we will calculate the prime factors of 18319 and 18326.

Prime Factorization of 18319

Prime factors of 18319 are 7, 2617. Prime factorization of 18319 in exponential form is:

18319 = 71 × 26171

Prime Factorization of 18326

Prime factors of 18326 are 2, 7, 11, 17. Prime factorization of 18326 in exponential form is:

18326 = 21 × 72 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 18319 and 18326.

LCM(18319,18326) = 72 × 26171 × 21 × 111 × 171
LCM(18319,18326) = 47959142