What is the Least Common Multiple of 90806 and 90817?

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 90806 and 90817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90806 and 90817, than apply into the LCM equation.

GCF(90806,90817) = 1
LCM(90806,90817) = ( 90806 × 90817) / 1
LCM(90806,90817) = 8246728502 / 1
LCM(90806,90817) = 8246728502

Least Common Multiple (LCM) of 90806 and 90817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90806 and 90817. First we will calculate the prime factors of 90806 and 90817.

Prime Factorization of 90806

Prime Factorization of 90817

Now multiplying the highest exponent prime factors to calculate the LCM of 90806 and 90817.

LCM(90806,90817) = 2¹ × 45403¹ × 197¹ × 461¹
LCM(90806,90817) = 8246728502