What is the Least Common Multiple of 90793 and 90797?

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 90793 and 90797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90793 and 90797, than apply into the LCM equation.

GCF(90793,90797) = 1
LCM(90793,90797) = ( 90793 × 90797) / 1
LCM(90793,90797) = 8243732021 / 1
LCM(90793,90797) = 8243732021

Least Common Multiple (LCM) of 90793 and 90797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90793 and 90797. First we will calculate the prime factors of 90793 and 90797.

Prime Factorization of 90793

Prime Factorization of 90797

Now multiplying the highest exponent prime factors to calculate the LCM of 90793 and 90797.

LCM(90793,90797) = 90793¹ × 7² × 17¹ × 109¹
LCM(90793,90797) = 8243732021