What is the Least Common Multiple of 90384 and 90398?

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 90384 and 90398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90384 and 90398, than apply into the LCM equation.

GCF(90384,90398) = 14
LCM(90384,90398) = ( 90384 × 90398) / 14
LCM(90384,90398) = 8170532832 / 14
LCM(90384,90398) = 583609488

Least Common Multiple (LCM) of 90384 and 90398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90384 and 90398. First we will calculate the prime factors of 90384 and 90398.

Prime Factorization of 90384

Prime Factorization of 90398

Now multiplying the highest exponent prime factors to calculate the LCM of 90384 and 90398.

LCM(90384,90398) = 2⁴ × 3¹ × 7¹ × 269¹ × 11¹ × 587¹
LCM(90384,90398) = 583609488