What is the Least Common Multiple of 9335 and 9340?

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 9335 and 9340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9335 and 9340, than apply into the LCM equation.

GCF(9335,9340) = 5
LCM(9335,9340) = ( 9335 × 9340) / 5
LCM(9335,9340) = 87188900 / 5
LCM(9335,9340) = 17437780

Least Common Multiple (LCM) of 9335 and 9340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9335 and 9340. First we will calculate the prime factors of 9335 and 9340.

Prime Factorization of 9335

Prime Factorization of 9340

Now multiplying the highest exponent prime factors to calculate the LCM of 9335 and 9340.

LCM(9335,9340) = 5¹ × 1867¹ × 2² × 467¹
LCM(9335,9340) = 17437780