What is the Least Common Multiple of 62398 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 62398 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 62398 and 62417, than apply into the LCM equation.

GCF(62398,62417) = 1
LCM(62398,62417) = ( 62398 × 62417) / 1
LCM(62398,62417) = 3894695966 / 1
LCM(62398,62417) = 3894695966

Least Common Multiple (LCM) of 62398 and 62417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62398 and 62417. First we will calculate the prime factors of 62398 and 62417.

Prime Factorization of 62398

Prime Factorization of 62417

Now multiplying the highest exponent prime factors to calculate the LCM of 62398 and 62417.

LCM(62398,62417) = 2¹ × 7¹ × 4457¹ × 62417¹
LCM(62398,62417) = 3894695966