What is the Least Common Multiple of 8584 and 8602?

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 8584 and 8602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8584 and 8602, than apply into the LCM equation.

GCF(8584,8602) = 2
LCM(8584,8602) = ( 8584 × 8602) / 2
LCM(8584,8602) = 73839568 / 2
LCM(8584,8602) = 36919784

Least Common Multiple (LCM) of 8584 and 8602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8584 and 8602. First we will calculate the prime factors of 8584 and 8602.

Prime Factorization of 8584

Prime Factorization of 8602

Now multiplying the highest exponent prime factors to calculate the LCM of 8584 and 8602.

LCM(8584,8602) = 2³ × 29¹ × 37¹ × 11¹ × 17¹ × 23¹
LCM(8584,8602) = 36919784