What is the Least Common Multiple of 62404 and 62417?

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 62404 and 62417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62404 and 62417, than apply into the LCM equation.

GCF(62404,62417) = 1
LCM(62404,62417) = ( 62404 × 62417) / 1
LCM(62404,62417) = 3895070468 / 1
LCM(62404,62417) = 3895070468

Least Common Multiple (LCM) of 62404 and 62417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62404 and 62417. First we will calculate the prime factors of 62404 and 62417.

Prime Factorization of 62404

Prime Factorization of 62417

Now multiplying the highest exponent prime factors to calculate the LCM of 62404 and 62417.

LCM(62404,62417) = 2² × 15601¹ × 62417¹
LCM(62404,62417) = 3895070468