What is the Least Common Multiple of 8335 and 8340?

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 8335 and 8340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8335 and 8340, than apply into the LCM equation.

GCF(8335,8340) = 5
LCM(8335,8340) = ( 8335 × 8340) / 5
LCM(8335,8340) = 69513900 / 5
LCM(8335,8340) = 13902780

Least Common Multiple (LCM) of 8335 and 8340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8335 and 8340. First we will calculate the prime factors of 8335 and 8340.

Prime Factorization of 8335

Prime Factorization of 8340

Now multiplying the highest exponent prime factors to calculate the LCM of 8335 and 8340.

LCM(8335,8340) = 5¹ × 1667¹ × 2² × 3¹ × 139¹
LCM(8335,8340) = 13902780