What is the Least Common Multiple of 36584 and 36597?

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 36584 and 36597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36584 and 36597, than apply into the LCM equation.

GCF(36584,36597) = 1
LCM(36584,36597) = ( 36584 × 36597) / 1
LCM(36584,36597) = 1338864648 / 1
LCM(36584,36597) = 1338864648

Least Common Multiple (LCM) of 36584 and 36597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36584 and 36597. First we will calculate the prime factors of 36584 and 36597.

Prime Factorization of 36584

Prime Factorization of 36597

Now multiplying the highest exponent prime factors to calculate the LCM of 36584 and 36597.

LCM(36584,36597) = 2³ × 17¹ × 269¹ × 3¹ × 11¹ × 1109¹
LCM(36584,36597) = 1338864648