Least Common Multiple of 9335 and 9340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9335 and 9340 the smallest integer that is 17437780 that is divisible by both numbers.

Least Common Multiple (LCM) of 9335 and 9340 is 17437780.

LCM(9335,9340) = 17437780

LCM of 9335 and 9340

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 9335 and 9340

LCM of 9335 and 9340 is 17437780

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


5 9335
1867 1867
1

Prime factors of 9335 are 5,1867. Prime factorization of 9335 in exponential form is:

9335 = 51×18671

Prime Factorization of 9340


2 9340
2 4670
5 2335
467 467
1

Prime factors of 9340 are 2, 5,467. Prime factorization of 9340 in exponential form is:

9340 = 22×51×4671

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

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

Factors of 9335

List of positive integer factors of 9335 that divides 9335 without a remainder.

1, 5, 1867, 9335

Factors of 9340

List of positive integer factors of 9340 that divides 9340 without a remainder.

1, 2, 4, 5, 10, 20, 467, 934, 1868, 2335, 4670, 9340

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

Properties of LCM 9335 and 9340

(i) The LCM of 9340 and 9335 is associative

LCM of 9335 and 9340 = LCM of 9340 and 9335

Related Least Common Multiples of 9335

Related Least Common Multiples of 9340

Frequently Asked Questions on LCM of 9335 and 9340

1. What is the LCM of 9335 and 9340?

Answer: LCM of 9335 and 9340 is 17437780.

2. What are the Factors of 9335?

Answer: Factors of 9335 are 1, 5, 1867, 9335. There are 4 integers that are factors of 9335. The greatest factor of 9335 is 9335.

3. What are the Factors of 9340?

Answer: Factors of 9340 are 1, 2, 4, 5, 10, 20, 467, 934, 1868, 2335, 4670, 9340. There are 12 integers that are factors of 9340. The greatest factor of 9340 is 9340.

4. How to Find the LCM of 9335 and 9340?

Answer:

Least Common Multiple of 9335 and 9340 = 17437780

Step 1: Find the prime factorization of 9335

9335 = 5 x 1867

Step 2: Find the prime factorization of 9340

9340 = 2 x 2 x 5 x 467

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 17437780 = 2 x 2 x 5 x 467 x 1867

Step 4: Therefore, the least common multiple of 9335 and 9340 is 17437780.