What is the Least Common Multiple of 29583 and 29589?

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 29583 and 29589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29583 and 29589, than apply into the LCM equation.

GCF(29583,29589) = 3
LCM(29583,29589) = ( 29583 × 29589) / 3
LCM(29583,29589) = 875331387 / 3
LCM(29583,29589) = 291777129

Least Common Multiple (LCM) of 29583 and 29589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29583 and 29589. First we will calculate the prime factors of 29583 and 29589.

Prime Factorization of 29583

Prime Factorization of 29589

Now multiplying the highest exponent prime factors to calculate the LCM of 29583 and 29589.

LCM(29583,29589) = 3² × 19¹ × 173¹ × 7¹ × 1409¹
LCM(29583,29589) = 291777129