What is the Least Common Multiple of 43065 and 43083?

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 43065 and 43083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43065 and 43083, than apply into the LCM equation.

GCF(43065,43083) = 9
LCM(43065,43083) = ( 43065 × 43083) / 9
LCM(43065,43083) = 1855369395 / 9
LCM(43065,43083) = 206152155

Least Common Multiple (LCM) of 43065 and 43083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43065 and 43083. First we will calculate the prime factors of 43065 and 43083.

Prime Factorization of 43065

Prime Factorization of 43083

Now multiplying the highest exponent prime factors to calculate the LCM of 43065 and 43083.

LCM(43065,43083) = 3³ × 5¹ × 11¹ × 29¹ × 4787¹
LCM(43065,43083) = 206152155