Least Common Multiple of 9340 and 9342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9340 and 9342 the smallest integer that is 43627140 that is divisible by both numbers.

Least Common Multiple (LCM) of 9340 and 9342 is 43627140.

LCM(9340,9342) = 43627140

LCM of 9340 and 9342

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

LCM of:
and

Least Common Multiple of 9340 and 9342

LCM of 9340 and 9342 is 43627140

Least common multiple can be found by multiplying the highest exponent prime factors of 9340 and 9342. First we will calculate the prime factors of 9340 and 9342.

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

Prime Factorization of 9342


2 9342
3 4671
3 1557
3 519
173 173
1

Prime factors of 9342 are 2, 3,173. Prime factorization of 9342 in exponential form is:

9342 = 21×33×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 9340 and 9342.

LCM(9340,9342) = 22×33×51×1731×4671
LCM(9340,9342) = 43627140

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

Factors of 9342

List of positive integer factors of 9342 that divides 9342 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 173, 346, 519, 1038, 1557, 3114, 4671, 9342

Least Common Multiple of 9340 and 9342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9340 and 9342, than apply into the LCM equation.

GCF(9340,9342) = 2
LCM(9340,9342) = ( 9340 × 9342) / 2
LCM(9340,9342) = 87254280 / 2
LCM(9340,9342) = 43627140

Properties of LCM 9340 and 9342

(i) The LCM of 9342 and 9340 is associative

LCM of 9340 and 9342 = LCM of 9342 and 9340

Related Least Common Multiples of 9340

Related Least Common Multiples of 9342

Frequently Asked Questions on LCM of 9340 and 9342

1. What is the LCM of 9340 and 9342?

Answer: LCM of 9340 and 9342 is 43627140.

2. 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.

3. What are the Factors of 9342?

Answer: Factors of 9342 are 1, 2, 3, 6, 9, 18, 27, 54, 173, 346, 519, 1038, 1557, 3114, 4671, 9342. There are 16 integers that are factors of 9342. The greatest factor of 9342 is 9342.

4. How to Find the LCM of 9340 and 9342?

Answer:

Least Common Multiple of 9340 and 9342 = 43627140

Step 1: Find the prime factorization of 9340

9340 = 2 x 2 x 5 x 467

Step 2: Find the prime factorization of 9342

9342 = 2 x 3 x 3 x 3 x 173

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

LCM = 43627140 = 2 x 2 x 3 x 3 x 3 x 5 x 173 x 467

Step 4: Therefore, the least common multiple of 9340 and 9342 is 43627140.