What is the Least Common Multiple of 90801 and 90813?

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 90801 and 90813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90801 and 90813, than apply into the LCM equation.

GCF(90801,90813) = 3
LCM(90801,90813) = ( 90801 × 90813) / 3
LCM(90801,90813) = 8245911213 / 3
LCM(90801,90813) = 2748637071

Least Common Multiple (LCM) of 90801 and 90813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90801 and 90813. First we will calculate the prime factors of 90801 and 90813.

Prime Factorization of 90801

Prime Factorization of 90813

Now multiplying the highest exponent prime factors to calculate the LCM of 90801 and 90813.

LCM(90801,90813) = 3⁴ × 19¹ × 59¹ × 30271¹
LCM(90801,90813) = 2748637071