What is the Least Common Multiple of 8338 and 8351?

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 8338 and 8351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8338 and 8351, than apply into the LCM equation.

GCF(8338,8351) = 1
LCM(8338,8351) = ( 8338 × 8351) / 1
LCM(8338,8351) = 69630638 / 1
LCM(8338,8351) = 69630638

Least Common Multiple (LCM) of 8338 and 8351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8338 and 8351. First we will calculate the prime factors of 8338 and 8351.

Prime Factorization of 8338

Prime Factorization of 8351

Now multiplying the highest exponent prime factors to calculate the LCM of 8338 and 8351.

LCM(8338,8351) = 2¹ × 11¹ × 379¹ × 7¹ × 1193¹
LCM(8338,8351) = 69630638