What is the Least Common Multiple of 62390 and 62399?

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 62390 and 62399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62390 and 62399, than apply into the LCM equation.

GCF(62390,62399) = 1
LCM(62390,62399) = ( 62390 × 62399) / 1
LCM(62390,62399) = 3893073610 / 1
LCM(62390,62399) = 3893073610

Least Common Multiple (LCM) of 62390 and 62399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62390 and 62399. First we will calculate the prime factors of 62390 and 62399.

Prime Factorization of 62390

Prime Factorization of 62399

Now multiplying the highest exponent prime factors to calculate the LCM of 62390 and 62399.

LCM(62390,62399) = 2¹ × 5¹ × 17¹ × 367¹ × 23¹ × 2713¹
LCM(62390,62399) = 3893073610