Least Common Multiple of 2337 and 2343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2337 and 2343 the smallest integer that is 1825197 that is divisible by both numbers.

Least Common Multiple (LCM) of 2337 and 2343 is 1825197.

LCM(2337,2343) = 1825197

LCM of 2337 and 2343

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

LCM of:
and

Least Common Multiple of 2337 and 2343

LCM of 2337 and 2343 is 1825197

Least common multiple can be found by multiplying the highest exponent prime factors of 2337 and 2343. First we will calculate the prime factors of 2337 and 2343.

Prime Factorization of 2337


3 2337
19 779
41 41
1

Prime factors of 2337 are 3, 19,41. Prime factorization of 2337 in exponential form is:

2337 = 31×191×411

Prime Factorization of 2343


3 2343
11 781
71 71
1

Prime factors of 2343 are 3, 11,71. Prime factorization of 2343 in exponential form is:

2343 = 31×111×711

Now multiplying the highest exponent prime factors to calculate the LCM of 2337 and 2343.

LCM(2337,2343) = 31×111×191×411×711
LCM(2337,2343) = 1825197

Factors of 2337

List of positive integer factors of 2337 that divides 2337 without a remainder.

1, 3, 19, 41, 57, 123, 779, 2337

Factors of 2343

List of positive integer factors of 2343 that divides 2343 without a remainder.

1, 3, 11, 33, 71, 213, 781, 2343

Least Common Multiple of 2337 and 2343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2337 and 2343, than apply into the LCM equation.

GCF(2337,2343) = 3
LCM(2337,2343) = ( 2337 × 2343) / 3
LCM(2337,2343) = 5475591 / 3
LCM(2337,2343) = 1825197

Properties of LCM 2337 and 2343

(i) The LCM of 2343 and 2337 is associative

LCM of 2337 and 2343 = LCM of 2343 and 2337

Related Least Common Multiples of 2337

Related Least Common Multiples of 2343

Frequently Asked Questions on LCM of 2337 and 2343

1. What is the LCM of 2337 and 2343?

Answer: LCM of 2337 and 2343 is 1825197.

2. What are the Factors of 2337?

Answer: Factors of 2337 are 1, 3, 19, 41, 57, 123, 779, 2337. There are 8 integers that are factors of 2337. The greatest factor of 2337 is 2337.

3. What are the Factors of 2343?

Answer: Factors of 2343 are 1, 3, 11, 33, 71, 213, 781, 2343. There are 8 integers that are factors of 2343. The greatest factor of 2343 is 2343.

4. How to Find the LCM of 2337 and 2343?

Answer:

Least Common Multiple of 2337 and 2343 = 1825197

Step 1: Find the prime factorization of 2337

2337 = 3 x 19 x 41

Step 2: Find the prime factorization of 2343

2343 = 3 x 11 x 71

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

LCM = 1825197 = 3 x 11 x 19 x 41 x 71

Step 4: Therefore, the least common multiple of 2337 and 2343 is 1825197.