What is the Least Common Multiple of 43585 and 43605?

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 43585 and 43605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43585 and 43605, than apply into the LCM equation.

GCF(43585,43605) = 5
LCM(43585,43605) = ( 43585 × 43605) / 5
LCM(43585,43605) = 1900523925 / 5
LCM(43585,43605) = 380104785

Least Common Multiple (LCM) of 43585 and 43605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43585 and 43605. First we will calculate the prime factors of 43585 and 43605.

Prime Factorization of 43585

Prime Factorization of 43605

Now multiplying the highest exponent prime factors to calculate the LCM of 43585 and 43605.

LCM(43585,43605) = 5¹ × 23¹ × 379¹ × 3³ × 17¹ × 19¹
LCM(43585,43605) = 380104785