What is the Least Common Multiple of 90400 and 90405?

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 90400 and 90405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90400 and 90405, than apply into the LCM equation.

GCF(90400,90405) = 5
LCM(90400,90405) = ( 90400 × 90405) / 5
LCM(90400,90405) = 8172612000 / 5
LCM(90400,90405) = 1634522400

Least Common Multiple (LCM) of 90400 and 90405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90400 and 90405. First we will calculate the prime factors of 90400 and 90405.

Prime Factorization of 90400

Prime Factorization of 90405

Now multiplying the highest exponent prime factors to calculate the LCM of 90400 and 90405.

LCM(90400,90405) = 2⁵ × 5² × 113¹ × 3² × 7² × 41¹
LCM(90400,90405) = 1634522400