Least Common Multiple of 2333 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 2333 and 2337 the smallest integer that is 5452221 that is divisible by both numbers.

Least Common Multiple (LCM) of 2333 and 2337 is 5452221.

LCM(2333,2337) = 5452221

LCM of 2333 and 2337

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

LCM of:
and

Least Common Multiple of 2333 and 2337

LCM of 2333 and 2337 is 5452221

Least common multiple can be found by multiplying the highest exponent prime factors of 2333 and 2337. First we will calculate the prime factors of 2333 and 2337.

Prime Factorization of 2333


2333 2333
1

Prime factors of 2333 are 2333. Prime factorization of 2333 in exponential form is:

2333 = 23331

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 2333 and 2337.

LCM(2333,2337) = 31×191×411×23331
LCM(2333,2337) = 5452221

Factors of 2333

List of positive integer factors of 2333 that divides 2333 without a remainder.

1, 2333

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 2333 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 2333 and 2337, than apply into the LCM equation.

GCF(2333,2337) = 1
LCM(2333,2337) = ( 2333 × 2337) / 1
LCM(2333,2337) = 5452221 / 1
LCM(2333,2337) = 5452221

Properties of LCM 2333 and 2337

(i) The LCM of 2337 and 2333 is associative

LCM of 2333 and 2337 = LCM of 2337 and 2333

Related Least Common Multiples of 2333

Related Least Common Multiples of 2337

Frequently Asked Questions on LCM of 2333 and 2337

1. What is the LCM of 2333 and 2337?

Answer: LCM of 2333 and 2337 is 5452221.

2. What are the Factors of 2333?

Answer: Factors of 2333 are 1, 2333. There are 2 integers that are factors of 2333. The greatest factor of 2333 is 2333.

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 2333 and 2337?

Answer:

Least Common Multiple of 2333 and 2337 = 5452221

Step 1: Find the prime factorization of 2333

2333 = 2333

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 = 5452221 = 3 x 19 x 41 x 2333

Step 4: Therefore, the least common multiple of 2333 and 2337 is 5452221.