What is the Least Common Multiple of 10040 and 10045?

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 10040 and 10045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10040 and 10045, than apply into the LCM equation.

GCF(10040,10045) = 5
LCM(10040,10045) = ( 10040 × 10045) / 5
LCM(10040,10045) = 100851800 / 5
LCM(10040,10045) = 20170360

Least Common Multiple (LCM) of 10040 and 10045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10040 and 10045. First we will calculate the prime factors of 10040 and 10045.

Prime Factorization of 10040

Prime Factorization of 10045

Now multiplying the highest exponent prime factors to calculate the LCM of 10040 and 10045.

LCM(10040,10045) = 2³ × 5¹ × 251¹ × 7² × 41¹
LCM(10040,10045) = 20170360