What is the Least Common Multiple of 90788 and 90806?

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 90788 and 90806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90788 and 90806, than apply into the LCM equation.

GCF(90788,90806) = 2
LCM(90788,90806) = ( 90788 × 90806) / 2
LCM(90788,90806) = 8244095128 / 2
LCM(90788,90806) = 4122047564

Least Common Multiple (LCM) of 90788 and 90806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90788 and 90806. First we will calculate the prime factors of 90788 and 90806.

Prime Factorization of 90788

Prime Factorization of 90806

Now multiplying the highest exponent prime factors to calculate the LCM of 90788 and 90806.

LCM(90788,90806) = 2² × 22697¹ × 45403¹
LCM(90788,90806) = 4122047564