What is the Least Common Multiple of 43583 and 43593?

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 43583 and 43593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43583 and 43593, than apply into the LCM equation.

GCF(43583,43593) = 1
LCM(43583,43593) = ( 43583 × 43593) / 1
LCM(43583,43593) = 1899913719 / 1
LCM(43583,43593) = 1899913719

Least Common Multiple (LCM) of 43583 and 43593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43583 and 43593. First we will calculate the prime factors of 43583 and 43593.

Prime Factorization of 43583

Prime Factorization of 43593

Now multiplying the highest exponent prime factors to calculate the LCM of 43583 and 43593.

LCM(43583,43593) = 41¹ × 1063¹ × 3¹ × 11¹ × 1321¹
LCM(43583,43593) = 1899913719