What is the Least Common Multiple of 90443 and 90449?

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 90443 and 90449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90443 and 90449, than apply into the LCM equation.

GCF(90443,90449) = 1
LCM(90443,90449) = ( 90443 × 90449) / 1
LCM(90443,90449) = 8180478907 / 1
LCM(90443,90449) = 8180478907

Least Common Multiple (LCM) of 90443 and 90449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90443 and 90449. First we will calculate the prime factors of 90443 and 90449.

Prime Factorization of 90443

Prime Factorization of 90449

Now multiplying the highest exponent prime factors to calculate the LCM of 90443 and 90449.

LCM(90443,90449) = 149¹ × 607¹ × 151¹ × 599¹
LCM(90443,90449) = 8180478907