What is the Least Common Multiple of 11582 and 11597?

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 11582 and 11597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11582 and 11597, than apply into the LCM equation.

GCF(11582,11597) = 1
LCM(11582,11597) = ( 11582 × 11597) / 1
LCM(11582,11597) = 134316454 / 1
LCM(11582,11597) = 134316454

Least Common Multiple (LCM) of 11582 and 11597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11582 and 11597. First we will calculate the prime factors of 11582 and 11597.

Prime Factorization of 11582

Prime Factorization of 11597

Now multiplying the highest exponent prime factors to calculate the LCM of 11582 and 11597.

LCM(11582,11597) = 2¹ × 5791¹ × 11597¹
LCM(11582,11597) = 134316454