GCF and LCM Calculator Logo

What is the Least Common Multiple of 17388 and 17399?

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 17388 and 17399 is 302533812.

LCM(17388,17399) = 302533812

LCM Calculator and
and

Least Common Multiple of 17388 and 17399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17388 and 17399, than apply into the LCM equation.

GCF(17388,17399) = 1
LCM(17388,17399) = ( 17388 × 17399) / 1
LCM(17388,17399) = 302533812 / 1
LCM(17388,17399) = 302533812

Least Common Multiple (LCM) of 17388 and 17399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17388 and 17399. First we will calculate the prime factors of 17388 and 17399.

Prime Factorization of 17388

Prime factors of 17388 are 2, 3, 7, 23. Prime factorization of 17388 in exponential form is:

17388 = 22 × 33 × 71 × 231

Prime Factorization of 17399

Prime factors of 17399 are 127, 137. Prime factorization of 17399 in exponential form is:

17399 = 1271 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 17388 and 17399.

LCM(17388,17399) = 22 × 33 × 71 × 231 × 1271 × 1371
LCM(17388,17399) = 302533812