What is the Least Common Multiple of 8334 and 8343?

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 8334 and 8343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8334 and 8343, than apply into the LCM equation.

GCF(8334,8343) = 9
LCM(8334,8343) = ( 8334 × 8343) / 9
LCM(8334,8343) = 69530562 / 9
LCM(8334,8343) = 7725618

Least Common Multiple (LCM) of 8334 and 8343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8334 and 8343. First we will calculate the prime factors of 8334 and 8343.

Prime Factorization of 8334

Prime Factorization of 8343

Now multiplying the highest exponent prime factors to calculate the LCM of 8334 and 8343.

LCM(8334,8343) = 2¹ × 3⁴ × 463¹ × 103¹
LCM(8334,8343) = 7725618