What is the Least Common Multiple of 47589 and 47597?

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 47589 and 47597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47589 and 47597, than apply into the LCM equation.

GCF(47589,47597) = 1
LCM(47589,47597) = ( 47589 × 47597) / 1
LCM(47589,47597) = 2265093633 / 1
LCM(47589,47597) = 2265093633

Least Common Multiple (LCM) of 47589 and 47597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47589 and 47597. First we will calculate the prime factors of 47589 and 47597.

Prime Factorization of 47589

Prime Factorization of 47597

Now multiplying the highest exponent prime factors to calculate the LCM of 47589 and 47597.

LCM(47589,47597) = 3¹ × 29¹ × 547¹ × 11¹ × 4327¹
LCM(47589,47597) = 2265093633