What is the Least Common Multiple of 90786 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 90786 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 90786 and 90806, than apply into the LCM equation.

GCF(90786,90806) = 2
LCM(90786,90806) = ( 90786 × 90806) / 2
LCM(90786,90806) = 8243913516 / 2
LCM(90786,90806) = 4121956758

Least Common Multiple (LCM) of 90786 and 90806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90786 and 90806. First we will calculate the prime factors of 90786 and 90806.

Prime Factorization of 90786

Prime Factorization of 90806

Now multiplying the highest exponent prime factors to calculate the LCM of 90786 and 90806.

LCM(90786,90806) = 2¹ × 3¹ × 15131¹ × 45403¹
LCM(90786,90806) = 4121956758