What is the Least Common Multiple of 90784 and 90799?

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 90799 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 90799, than apply into the LCM equation.

GCF(90784,90799) = 1
LCM(90784,90799) = ( 90784 × 90799) / 1
LCM(90784,90799) = 8243096416 / 1
LCM(90784,90799) = 8243096416

Least Common Multiple (LCM) of 90784 and 90799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90784 and 90799. First we will calculate the prime factors of 90784 and 90799.

Prime Factorization of 90784

Prime Factorization of 90799

Now multiplying the highest exponent prime factors to calculate the LCM of 90784 and 90799.

LCM(90784,90799) = 2⁵ × 2837¹ × 29¹ × 31¹ × 101¹
LCM(90784,90799) = 8243096416