What is the Least Common Multiple of 62586 and 62598?

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 62586 and 62598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62586 and 62598, than apply into the LCM equation.

GCF(62586,62598) = 6
LCM(62586,62598) = ( 62586 × 62598) / 6
LCM(62586,62598) = 3917758428 / 6
LCM(62586,62598) = 652959738

Least Common Multiple (LCM) of 62586 and 62598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62586 and 62598. First we will calculate the prime factors of 62586 and 62598.

Prime Factorization of 62586

Prime Factorization of 62598

Now multiplying the highest exponent prime factors to calculate the LCM of 62586 and 62598.

LCM(62586,62598) = 2¹ × 3³ × 19¹ × 61¹ × 10433¹
LCM(62586,62598) = 652959738