What is the Least Common Multiple of 8330 and 8349?

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 8330 and 8349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8330 and 8349, than apply into the LCM equation.

GCF(8330,8349) = 1
LCM(8330,8349) = ( 8330 × 8349) / 1
LCM(8330,8349) = 69547170 / 1
LCM(8330,8349) = 69547170

Least Common Multiple (LCM) of 8330 and 8349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8330 and 8349. First we will calculate the prime factors of 8330 and 8349.

Prime Factorization of 8330

Prime Factorization of 8349

Now multiplying the highest exponent prime factors to calculate the LCM of 8330 and 8349.

LCM(8330,8349) = 2¹ × 5¹ × 7² × 17¹ × 3¹ × 11² × 23¹
LCM(8330,8349) = 69547170