What is the Least Common Multiple of 8340 and 8345?

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 8345 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 8345, than apply into the LCM equation.

GCF(8340,8345) = 5
LCM(8340,8345) = ( 8340 × 8345) / 5
LCM(8340,8345) = 69597300 / 5
LCM(8340,8345) = 13919460

Least Common Multiple (LCM) of 8340 and 8345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8340 and 8345. First we will calculate the prime factors of 8340 and 8345.

Prime Factorization of 8340

Prime Factorization of 8345

Now multiplying the highest exponent prime factors to calculate the LCM of 8340 and 8345.

LCM(8340,8345) = 2² × 3¹ × 5¹ × 139¹ × 1669¹
LCM(8340,8345) = 13919460