Least Common Multiple of 9334 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 9334 and 9340 the smallest integer that is 43589780 that is divisible by both numbers.

Least Common Multiple (LCM) of 9334 and 9340 is 43589780.

LCM(9334,9340) = 43589780

LCM of 9334 and 9340

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

LCM of:
and

Least Common Multiple of 9334 and 9340

LCM of 9334 and 9340 is 43589780

Least common multiple can be found by multiplying the highest exponent prime factors of 9334 and 9340. First we will calculate the prime factors of 9334 and 9340.

Prime Factorization of 9334


2 9334
13 4667
359 359
1

Prime factors of 9334 are 2, 13,359. Prime factorization of 9334 in exponential form is:

9334 = 21×131×3591

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 9334 and 9340.

LCM(9334,9340) = 22×51×131×3591×4671
LCM(9334,9340) = 43589780

Factors of 9334

List of positive integer factors of 9334 that divides 9334 without a remainder.

1, 2, 13, 26, 359, 718, 4667, 9334

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 9334 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 9334 and 9340, than apply into the LCM equation.

GCF(9334,9340) = 2
LCM(9334,9340) = ( 9334 × 9340) / 2
LCM(9334,9340) = 87179560 / 2
LCM(9334,9340) = 43589780

Properties of LCM 9334 and 9340

(i) The LCM of 9340 and 9334 is associative

LCM of 9334 and 9340 = LCM of 9340 and 9334

Related Least Common Multiples of 9334

Related Least Common Multiples of 9340

Frequently Asked Questions on LCM of 9334 and 9340

1. What is the LCM of 9334 and 9340?

Answer: LCM of 9334 and 9340 is 43589780.

2. What are the Factors of 9334?

Answer: Factors of 9334 are 1, 2, 13, 26, 359, 718, 4667, 9334. There are 8 integers that are factors of 9334. The greatest factor of 9334 is 9334.

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 9334 and 9340?

Answer:

Least Common Multiple of 9334 and 9340 = 43589780

Step 1: Find the prime factorization of 9334

9334 = 2 x 13 x 359

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 = 43589780 = 2 x 2 x 5 x 13 x 359 x 467

Step 4: Therefore, the least common multiple of 9334 and 9340 is 43589780.