GCF and LCM Calculator Logo

What is the Least Common Multiple of 5398 and 5418?

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 5398 and 5418 is 14623182.

LCM(5398,5418) = 14623182

LCM Calculator and
and

Least Common Multiple of 5398 and 5418 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5398 and 5418, than apply into the LCM equation.

GCF(5398,5418) = 2
LCM(5398,5418) = ( 5398 × 5418) / 2
LCM(5398,5418) = 29246364 / 2
LCM(5398,5418) = 14623182

Least Common Multiple (LCM) of 5398 and 5418 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5398 and 5418. First we will calculate the prime factors of 5398 and 5418.

Prime Factorization of 5398

Prime factors of 5398 are 2, 2699. Prime factorization of 5398 in exponential form is:

5398 = 21 × 26991

Prime Factorization of 5418

Prime factors of 5418 are 2, 3, 7, 43. Prime factorization of 5418 in exponential form is:

5418 = 21 × 32 × 71 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 5398 and 5418.

LCM(5398,5418) = 21 × 26991 × 32 × 71 × 431
LCM(5398,5418) = 14623182