What is the Least Common Multiple of 58582 and 58598?

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 58582 and 58598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58582 and 58598, than apply into the LCM equation.

GCF(58582,58598) = 2
LCM(58582,58598) = ( 58582 × 58598) / 2
LCM(58582,58598) = 3432788036 / 2
LCM(58582,58598) = 1716394018

Least Common Multiple (LCM) of 58582 and 58598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58582 and 58598. First we will calculate the prime factors of 58582 and 58598.

Prime Factorization of 58582

Prime Factorization of 58598

Now multiplying the highest exponent prime factors to calculate the LCM of 58582 and 58598.

LCM(58582,58598) = 2¹ × 17¹ × 1723¹ × 83¹ × 353¹
LCM(58582,58598) = 1716394018