What is the Least Common Multiple of 90380 and 90384?

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 90380 and 90384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90380 and 90384, than apply into the LCM equation.

GCF(90380,90384) = 4
LCM(90380,90384) = ( 90380 × 90384) / 4
LCM(90380,90384) = 8168905920 / 4
LCM(90380,90384) = 2042226480

Least Common Multiple (LCM) of 90380 and 90384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90380 and 90384. First we will calculate the prime factors of 90380 and 90384.

Prime Factorization of 90380

Prime Factorization of 90384

Now multiplying the highest exponent prime factors to calculate the LCM of 90380 and 90384.

LCM(90380,90384) = 2⁴ × 5¹ × 4519¹ × 3¹ × 7¹ × 269¹
LCM(90380,90384) = 2042226480