What is the Least Common Multiple of 23584 and 23597?

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 23584 and 23597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23584 and 23597, than apply into the LCM equation.

GCF(23584,23597) = 1
LCM(23584,23597) = ( 23584 × 23597) / 1
LCM(23584,23597) = 556511648 / 1
LCM(23584,23597) = 556511648

Least Common Multiple (LCM) of 23584 and 23597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23584 and 23597. First we will calculate the prime factors of 23584 and 23597.

Prime Factorization of 23584

Prime Factorization of 23597

Now multiplying the highest exponent prime factors to calculate the LCM of 23584 and 23597.

LCM(23584,23597) = 2⁵ × 11¹ × 67¹ × 7¹ × 3371¹
LCM(23584,23597) = 556511648