What is the Least Common Multiple of 90784 and 90803?

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 90784 and 90803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90784 and 90803, than apply into the LCM equation.

GCF(90784,90803) = 1
LCM(90784,90803) = ( 90784 × 90803) / 1
LCM(90784,90803) = 8243459552 / 1
LCM(90784,90803) = 8243459552

Least Common Multiple (LCM) of 90784 and 90803 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90784 and 90803. First we will calculate the prime factors of 90784 and 90803.

Prime Factorization of 90784

Prime Factorization of 90803

Now multiplying the highest exponent prime factors to calculate the LCM of 90784 and 90803.

LCM(90784,90803) = 2⁵ × 2837¹ × 90803¹
LCM(90784,90803) = 8243459552