What is the Least Common Multiple of 5382 and 5398?

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 of 5382 and 5398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5382 and 5398, than apply into the LCM equation.

GCF(5382,5398) = 2
LCM(5382,5398) = ( 5382 × 5398) / 2
LCM(5382,5398) = 29052036 / 2
LCM(5382,5398) = 14526018

Least Common Multiple (LCM) of 5382 and 5398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5382 and 5398. First we will calculate the prime factors of 5382 and 5398.

Prime Factorization of 5382

Prime Factorization of 5398

Now multiplying the highest exponent prime factors to calculate the LCM of 5382 and 5398.

LCM(5382,5398) = 2¹ × 3² × 13¹ × 23¹ × 2699¹
LCM(5382,5398) = 14526018