GCF and LCM Calculator Logo

What is the Least Common Multiple of 99389 and 99398?

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 99389 and 99398 is 9879067822.

LCM(99389,99398) = 9879067822

LCM Calculator and
and

Least Common Multiple of 99389 and 99398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99389 and 99398, than apply into the LCM equation.

GCF(99389,99398) = 1
LCM(99389,99398) = ( 99389 × 99398) / 1
LCM(99389,99398) = 9879067822 / 1
LCM(99389,99398) = 9879067822

Least Common Multiple (LCM) of 99389 and 99398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99389 and 99398. First we will calculate the prime factors of 99389 and 99398.

Prime Factorization of 99389

Prime factors of 99389 are 19, 5231. Prime factorization of 99389 in exponential form is:

99389 = 191 × 52311

Prime Factorization of 99398

Prime factors of 99398 are 2, 13, 3823. Prime factorization of 99398 in exponential form is:

99398 = 21 × 131 × 38231

Now multiplying the highest exponent prime factors to calculate the LCM of 99389 and 99398.

LCM(99389,99398) = 191 × 52311 × 21 × 131 × 38231
LCM(99389,99398) = 9879067822