What is the Least Common Multiple of 14384 and 14398?

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 14384 and 14398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14384 and 14398, than apply into the LCM equation.

GCF(14384,14398) = 2
LCM(14384,14398) = ( 14384 × 14398) / 2
LCM(14384,14398) = 207100832 / 2
LCM(14384,14398) = 103550416

Least Common Multiple (LCM) of 14384 and 14398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14384 and 14398. First we will calculate the prime factors of 14384 and 14398.

Prime Factorization of 14384

Prime Factorization of 14398

Now multiplying the highest exponent prime factors to calculate the LCM of 14384 and 14398.

LCM(14384,14398) = 2⁴ × 29¹ × 31¹ × 23¹ × 313¹
LCM(14384,14398) = 103550416