What is the Least Common Multiple of 90483 and 90500?

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 90483 and 90500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90483 and 90500, than apply into the LCM equation.

GCF(90483,90500) = 1
LCM(90483,90500) = ( 90483 × 90500) / 1
LCM(90483,90500) = 8188711500 / 1
LCM(90483,90500) = 8188711500

Least Common Multiple (LCM) of 90483 and 90500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90483 and 90500. First we will calculate the prime factors of 90483 and 90500.

Prime Factorization of 90483

Prime Factorization of 90500

Now multiplying the highest exponent prime factors to calculate the LCM of 90483 and 90500.

LCM(90483,90500) = 3¹ × 30161¹ × 2² × 5³ × 181¹
LCM(90483,90500) = 8188711500