What is the Least Common Multiple of 8338 and 8346?

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 8346 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 8346, than apply into the LCM equation.

GCF(8338,8346) = 2
LCM(8338,8346) = ( 8338 × 8346) / 2
LCM(8338,8346) = 69588948 / 2
LCM(8338,8346) = 34794474

Least Common Multiple (LCM) of 8338 and 8346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8338 and 8346. First we will calculate the prime factors of 8338 and 8346.

Prime Factorization of 8338

Prime Factorization of 8346

Now multiplying the highest exponent prime factors to calculate the LCM of 8338 and 8346.

LCM(8338,8346) = 2¹ × 11¹ × 379¹ × 3¹ × 13¹ × 107¹
LCM(8338,8346) = 34794474