What is the Least Common Multiple of 90483 and 90490?

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 90490 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 90490, than apply into the LCM equation.

GCF(90483,90490) = 1
LCM(90483,90490) = ( 90483 × 90490) / 1
LCM(90483,90490) = 8187806670 / 1
LCM(90483,90490) = 8187806670

Least Common Multiple (LCM) of 90483 and 90490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90483 and 90490. First we will calculate the prime factors of 90483 and 90490.

Prime Factorization of 90483

Prime Factorization of 90490

Now multiplying the highest exponent prime factors to calculate the LCM of 90483 and 90490.

LCM(90483,90490) = 3¹ × 30161¹ × 2¹ × 5¹ × 9049¹
LCM(90483,90490) = 8187806670