What is the Least Common Multiple of 8398 and 8417?

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 8398 and 8417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8398 and 8417, than apply into the LCM equation.

GCF(8398,8417) = 19
LCM(8398,8417) = ( 8398 × 8417) / 19
LCM(8398,8417) = 70685966 / 19
LCM(8398,8417) = 3720314

Least Common Multiple (LCM) of 8398 and 8417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8398 and 8417. First we will calculate the prime factors of 8398 and 8417.

Prime Factorization of 8398

Prime Factorization of 8417

Now multiplying the highest exponent prime factors to calculate the LCM of 8398 and 8417.

LCM(8398,8417) = 2¹ × 13¹ × 17¹ × 19¹ × 443¹
LCM(8398,8417) = 3720314