What is the Least Common Multiple of 90040 and 90045?

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 90040 and 90045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90040 and 90045, than apply into the LCM equation.

GCF(90040,90045) = 5
LCM(90040,90045) = ( 90040 × 90045) / 5
LCM(90040,90045) = 8107651800 / 5
LCM(90040,90045) = 1621530360

Least Common Multiple (LCM) of 90040 and 90045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90040 and 90045. First we will calculate the prime factors of 90040 and 90045.

Prime Factorization of 90040

Prime Factorization of 90045

Now multiplying the highest exponent prime factors to calculate the LCM of 90040 and 90045.

LCM(90040,90045) = 2³ × 5¹ × 2251¹ × 3³ × 23¹ × 29¹
LCM(90040,90045) = 1621530360