What is the Least Common Multiple of 40590 and 40600?

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 40590 and 40600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40590 and 40600, than apply into the LCM equation.

GCF(40590,40600) = 10
LCM(40590,40600) = ( 40590 × 40600) / 10
LCM(40590,40600) = 1647954000 / 10
LCM(40590,40600) = 164795400

Least Common Multiple (LCM) of 40590 and 40600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40590 and 40600. First we will calculate the prime factors of 40590 and 40600.

Prime Factorization of 40590

Prime Factorization of 40600

Now multiplying the highest exponent prime factors to calculate the LCM of 40590 and 40600.

LCM(40590,40600) = 2³ × 3² × 5² × 11¹ × 41¹ × 7¹ × 29¹
LCM(40590,40600) = 164795400