Least Common Multiple of 2338 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 2338 and 2343 the smallest integer that is 5477934 that is divisible by both numbers.

Least Common Multiple (LCM) of 2338 and 2343 is 5477934.

LCM(2338,2343) = 5477934

LCM of 2338 and 2343

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

LCM of:
and

Least Common Multiple of 2338 and 2343

LCM of 2338 and 2343 is 5477934

Least common multiple can be found by multiplying the highest exponent prime factors of 2338 and 2343. First we will calculate the prime factors of 2338 and 2343.

Prime Factorization of 2338


2 2338
7 1169
167 167
1

Prime factors of 2338 are 2, 7,167. Prime factorization of 2338 in exponential form is:

2338 = 21×71×1671

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 2338 and 2343.

LCM(2338,2343) = 21×31×71×111×711×1671
LCM(2338,2343) = 5477934

Factors of 2338

List of positive integer factors of 2338 that divides 2338 without a remainder.

1, 2, 7, 14, 167, 334, 1169, 2338

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 2338 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 2338 and 2343, than apply into the LCM equation.

GCF(2338,2343) = 1
LCM(2338,2343) = ( 2338 × 2343) / 1
LCM(2338,2343) = 5477934 / 1
LCM(2338,2343) = 5477934

Properties of LCM 2338 and 2343

(i) The LCM of 2343 and 2338 is associative

LCM of 2338 and 2343 = LCM of 2343 and 2338

Related Least Common Multiples of 2338

Related Least Common Multiples of 2343

Frequently Asked Questions on LCM of 2338 and 2343

1. What is the LCM of 2338 and 2343?

Answer: LCM of 2338 and 2343 is 5477934.

2. What are the Factors of 2338?

Answer: Factors of 2338 are 1, 2, 7, 14, 167, 334, 1169, 2338. There are 8 integers that are factors of 2338. The greatest factor of 2338 is 2338.

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 2338 and 2343?

Answer:

Least Common Multiple of 2338 and 2343 = 5477934

Step 1: Find the prime factorization of 2338

2338 = 2 x 7 x 167

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 = 5477934 = 2 x 3 x 7 x 11 x 71 x 167

Step 4: Therefore, the least common multiple of 2338 and 2343 is 5477934.