Least Common Multiple of 2338 and 2346

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 2346 the smallest integer that is 2742474 that is divisible by both numbers.

Least Common Multiple (LCM) of 2338 and 2346 is 2742474.

LCM(2338,2346) = 2742474

LCM of 2338 and 2346

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

LCM of:
and

Least Common Multiple of 2338 and 2346

LCM of 2338 and 2346 is 2742474

Least common multiple can be found by multiplying the highest exponent prime factors of 2338 and 2346. First we will calculate the prime factors of 2338 and 2346.

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 2346


2 2346
3 1173
17 391
23 23
1

Prime factors of 2346 are 2, 3, 17,23. Prime factorization of 2346 in exponential form is:

2346 = 21×31×171×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2338 and 2346.

LCM(2338,2346) = 21×31×71×171×231×1671
LCM(2338,2346) = 2742474

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 2346

List of positive integer factors of 2346 that divides 2346 without a remainder.

1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346

Least Common Multiple of 2338 and 2346 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 2346, than apply into the LCM equation.

GCF(2338,2346) = 2
LCM(2338,2346) = ( 2338 × 2346) / 2
LCM(2338,2346) = 5484948 / 2
LCM(2338,2346) = 2742474

Properties of LCM 2338 and 2346

(i) The LCM of 2346 and 2338 is associative

LCM of 2338 and 2346 = LCM of 2346 and 2338

Related Least Common Multiples of 2338

Related Least Common Multiples of 2346

Frequently Asked Questions on LCM of 2338 and 2346

1. What is the LCM of 2338 and 2346?

Answer: LCM of 2338 and 2346 is 2742474.

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 2346?

Answer: Factors of 2346 are 1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346. There are 16 integers that are factors of 2346. The greatest factor of 2346 is 2346.

4. How to Find the LCM of 2338 and 2346?

Answer:

Least Common Multiple of 2338 and 2346 = 2742474

Step 1: Find the prime factorization of 2338

2338 = 2 x 7 x 167

Step 2: Find the prime factorization of 2346

2346 = 2 x 3 x 17 x 23

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

LCM = 2742474 = 2 x 3 x 7 x 17 x 23 x 167

Step 4: Therefore, the least common multiple of 2338 and 2346 is 2742474.