What is the Least Common Multiple of 90405 and 90409?

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 90405 and 90409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90405 and 90409, than apply into the LCM equation.

GCF(90405,90409) = 1
LCM(90405,90409) = ( 90405 × 90409) / 1
LCM(90405,90409) = 8173425645 / 1
LCM(90405,90409) = 8173425645

Least Common Multiple (LCM) of 90405 and 90409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90405 and 90409. First we will calculate the prime factors of 90405 and 90409.

Prime Factorization of 90405

Prime Factorization of 90409

Now multiplying the highest exponent prime factors to calculate the LCM of 90405 and 90409.

LCM(90405,90409) = 3² × 5¹ × 7² × 41¹ × 11¹ × 8219¹
LCM(90405,90409) = 8173425645