Least Common Multiple of 2332 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 2332 and 2338 the smallest integer that is 2726108 that is divisible by both numbers.

Least Common Multiple (LCM) of 2332 and 2338 is 2726108.

LCM(2332,2338) = 2726108

LCM of 2332 and 2338

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

LCM of:
and

Least Common Multiple of 2332 and 2338

LCM of 2332 and 2338 is 2726108

Least common multiple can be found by multiplying the highest exponent prime factors of 2332 and 2338. First we will calculate the prime factors of 2332 and 2338.

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 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 2332 and 2338.

LCM(2332,2338) = 22×71×111×531×1671
LCM(2332,2338) = 2726108

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 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 2332 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 2332 and 2338, than apply into the LCM equation.

GCF(2332,2338) = 2
LCM(2332,2338) = ( 2332 × 2338) / 2
LCM(2332,2338) = 5452216 / 2
LCM(2332,2338) = 2726108

Properties of LCM 2332 and 2338

(i) The LCM of 2338 and 2332 is associative

LCM of 2332 and 2338 = LCM of 2338 and 2332

Related Least Common Multiples of 2332

Related Least Common Multiples of 2338

Frequently Asked Questions on LCM of 2332 and 2338

1. What is the LCM of 2332 and 2338?

Answer: LCM of 2332 and 2338 is 2726108.

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 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 2332 and 2338?

Answer:

Least Common Multiple of 2332 and 2338 = 2726108

Step 1: Find the prime factorization of 2332

2332 = 2 x 2 x 11 x 53

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 = 2726108 = 2 x 2 x 7 x 11 x 53 x 167

Step 4: Therefore, the least common multiple of 2332 and 2338 is 2726108.