Least Common Multiple of 2332 and 2337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2332 and 2337 the smallest integer that is 5449884 that is divisible by both numbers.

Least Common Multiple (LCM) of 2332 and 2337 is 5449884.

LCM(2332,2337) = 5449884

LCM of 2332 and 2337

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

LCM of:
and

Least Common Multiple of 2332 and 2337

LCM of 2332 and 2337 is 5449884

Least common multiple can be found by multiplying the highest exponent prime factors of 2332 and 2337. First we will calculate the prime factors of 2332 and 2337.

Prime Factorization of 2332


2 2332
2 1166
11 583
53 53
1

Prime factors of 2332 are 2, 11,53. Prime factorization of 2332 in exponential form is:

2332 = 22×111×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2332 and 2337.

LCM(2332,2337) = 22×31×111×191×411×531
LCM(2332,2337) = 5449884

Factors of 2332

List of positive integer factors of 2332 that divides 2332 without a remainder.

1, 2, 4, 11, 22, 44, 53, 106, 212, 583, 1166, 2332

Factors of 2337

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

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

Least Common Multiple of 2332 and 2337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2332 and 2337, than apply into the LCM equation.

GCF(2332,2337) = 1
LCM(2332,2337) = ( 2332 × 2337) / 1
LCM(2332,2337) = 5449884 / 1
LCM(2332,2337) = 5449884

Properties of LCM 2332 and 2337

(i) The LCM of 2337 and 2332 is associative

LCM of 2332 and 2337 = LCM of 2337 and 2332

Related Least Common Multiples of 2332

Related Least Common Multiples of 2337

Frequently Asked Questions on LCM of 2332 and 2337

1. What is the LCM of 2332 and 2337?

Answer: LCM of 2332 and 2337 is 5449884.

2. What are the Factors of 2332?

Answer: Factors of 2332 are 1, 2, 4, 11, 22, 44, 53, 106, 212, 583, 1166, 2332. There are 12 integers that are factors of 2332. The greatest factor of 2332 is 2332.

3. 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.

4. How to Find the LCM of 2332 and 2337?

Answer:

Least Common Multiple of 2332 and 2337 = 5449884

Step 1: Find the prime factorization of 2332

2332 = 2 x 2 x 11 x 53

Step 2: Find the prime factorization of 2337

2337 = 3 x 19 x 41

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

LCM = 5449884 = 2 x 2 x 3 x 11 x 19 x 41 x 53

Step 4: Therefore, the least common multiple of 2332 and 2337 is 5449884.