What is the Least Common Multiple of 36584 and 36590?

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 36590 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 36590, than apply into the LCM equation.

GCF(36584,36590) = 2
LCM(36584,36590) = ( 36584 × 36590) / 2
LCM(36584,36590) = 1338608560 / 2
LCM(36584,36590) = 669304280

Least Common Multiple (LCM) of 36584 and 36590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36584 and 36590. First we will calculate the prime factors of 36584 and 36590.

Prime Factorization of 36584

Prime Factorization of 36590

Now multiplying the highest exponent prime factors to calculate the LCM of 36584 and 36590.

LCM(36584,36590) = 2³ × 17¹ × 269¹ × 5¹ × 3659¹
LCM(36584,36590) = 669304280