What is the Least Common Multiple of 90384 and 90395?

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 90395 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 90395, than apply into the LCM equation.

GCF(90384,90395) = 1
LCM(90384,90395) = ( 90384 × 90395) / 1
LCM(90384,90395) = 8170261680 / 1
LCM(90384,90395) = 8170261680

Least Common Multiple (LCM) of 90384 and 90395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90384 and 90395. First we will calculate the prime factors of 90384 and 90395.

Prime Factorization of 90384

Prime Factorization of 90395

Now multiplying the highest exponent prime factors to calculate the LCM of 90384 and 90395.

LCM(90384,90395) = 2⁴ × 3¹ × 7¹ × 269¹ × 5¹ × 101¹ × 179¹
LCM(90384,90395) = 8170261680