What is the Least Common Multiple of 8340 and 8344?

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 8340 and 8344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8340 and 8344, than apply into the LCM equation.

GCF(8340,8344) = 4
LCM(8340,8344) = ( 8340 × 8344) / 4
LCM(8340,8344) = 69588960 / 4
LCM(8340,8344) = 17397240

Least Common Multiple (LCM) of 8340 and 8344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8340 and 8344. First we will calculate the prime factors of 8340 and 8344.

Prime Factorization of 8340

Prime Factorization of 8344

Now multiplying the highest exponent prime factors to calculate the LCM of 8340 and 8344.

LCM(8340,8344) = 2³ × 3¹ × 5¹ × 139¹ × 7¹ × 149¹
LCM(8340,8344) = 17397240