Least Common Multiple of 2334 and 2338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2334 and 2338 the smallest integer that is 2728446 that is divisible by both numbers.

Least Common Multiple (LCM) of 2334 and 2338 is 2728446.

LCM(2334,2338) = 2728446

LCM of 2334 and 2338

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

LCM of:
and

Least Common Multiple of 2334 and 2338

LCM of 2334 and 2338 is 2728446

Least common multiple can be found by multiplying the highest exponent prime factors of 2334 and 2338. First we will calculate the prime factors of 2334 and 2338.

Prime Factorization of 2334


2 2334
3 1167
389 389
1

Prime factors of 2334 are 2, 3,389. Prime factorization of 2334 in exponential form is:

2334 = 21×31×3891

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2334 and 2338.

LCM(2334,2338) = 21×31×71×1671×3891
LCM(2334,2338) = 2728446

Factors of 2334

List of positive integer factors of 2334 that divides 2334 without a remainder.

1, 2, 3, 6, 389, 778, 1167, 2334

Factors of 2338

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

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

Least Common Multiple of 2334 and 2338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2334 and 2338, than apply into the LCM equation.

GCF(2334,2338) = 2
LCM(2334,2338) = ( 2334 × 2338) / 2
LCM(2334,2338) = 5456892 / 2
LCM(2334,2338) = 2728446

Properties of LCM 2334 and 2338

(i) The LCM of 2338 and 2334 is associative

LCM of 2334 and 2338 = LCM of 2338 and 2334

Related Least Common Multiples of 2334

Related Least Common Multiples of 2338

Frequently Asked Questions on LCM of 2334 and 2338

1. What is the LCM of 2334 and 2338?

Answer: LCM of 2334 and 2338 is 2728446.

2. What are the Factors of 2334?

Answer: Factors of 2334 are 1, 2, 3, 6, 389, 778, 1167, 2334. There are 8 integers that are factors of 2334. The greatest factor of 2334 is 2334.

3. 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.

4. How to Find the LCM of 2334 and 2338?

Answer:

Least Common Multiple of 2334 and 2338 = 2728446

Step 1: Find the prime factorization of 2334

2334 = 2 x 3 x 389

Step 2: Find the prime factorization of 2338

2338 = 2 x 7 x 167

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

LCM = 2728446 = 2 x 3 x 7 x 167 x 389

Step 4: Therefore, the least common multiple of 2334 and 2338 is 2728446.