What is the Least Common Multiple of 90785 and 90805?

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 90785 and 90805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90785 and 90805, than apply into the LCM equation.

GCF(90785,90805) = 5
LCM(90785,90805) = ( 90785 × 90805) / 5
LCM(90785,90805) = 8243731925 / 5
LCM(90785,90805) = 1648746385

Least Common Multiple (LCM) of 90785 and 90805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90785 and 90805. First we will calculate the prime factors of 90785 and 90805.

Prime Factorization of 90785

Prime Factorization of 90805

Now multiplying the highest exponent prime factors to calculate the LCM of 90785 and 90805.

LCM(90785,90805) = 5¹ × 67¹ × 271¹ × 11¹ × 13¹ × 127¹
LCM(90785,90805) = 1648746385