What is the Least Common Multiple of 8330 and 8342?

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 8342 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 8342, than apply into the LCM equation.

GCF(8330,8342) = 2
LCM(8330,8342) = ( 8330 × 8342) / 2
LCM(8330,8342) = 69488860 / 2
LCM(8330,8342) = 34744430

Least Common Multiple (LCM) of 8330 and 8342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8330 and 8342. First we will calculate the prime factors of 8330 and 8342.

Prime Factorization of 8330

Prime Factorization of 8342

Now multiplying the highest exponent prime factors to calculate the LCM of 8330 and 8342.

LCM(8330,8342) = 2¹ × 5¹ × 7² × 17¹ × 43¹ × 97¹
LCM(8330,8342) = 34744430