What is the Least Common Multiple of 36584 and 36588?

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 36588 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 36588, than apply into the LCM equation.

GCF(36584,36588) = 4
LCM(36584,36588) = ( 36584 × 36588) / 4
LCM(36584,36588) = 1338535392 / 4
LCM(36584,36588) = 334633848

Least Common Multiple (LCM) of 36584 and 36588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36584 and 36588. First we will calculate the prime factors of 36584 and 36588.

Prime Factorization of 36584

Prime Factorization of 36588

Now multiplying the highest exponent prime factors to calculate the LCM of 36584 and 36588.

LCM(36584,36588) = 2³ × 17¹ × 269¹ × 3¹ × 3049¹
LCM(36584,36588) = 334633848