What is the Least Common Multiple of 29589 and 29597?

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 29589 and 29597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29589 and 29597, than apply into the LCM equation.

GCF(29589,29597) = 1
LCM(29589,29597) = ( 29589 × 29597) / 1
LCM(29589,29597) = 875745633 / 1
LCM(29589,29597) = 875745633

Least Common Multiple (LCM) of 29589 and 29597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29589 and 29597. First we will calculate the prime factors of 29589 and 29597.

Prime Factorization of 29589

Prime Factorization of 29597

Now multiplying the highest exponent prime factors to calculate the LCM of 29589 and 29597.

LCM(29589,29597) = 3¹ × 7¹ × 1409¹ × 17¹ × 1741¹
LCM(29589,29597) = 875745633