Least Common Multiple of 2338 and 2345

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 2345 the smallest integer that is 783230 that is divisible by both numbers.

Least Common Multiple (LCM) of 2338 and 2345 is 783230.

LCM(2338,2345) = 783230

LCM of 2338 and 2345

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

LCM of:
and

Least Common Multiple of 2338 and 2345

LCM of 2338 and 2345 is 783230

Least common multiple can be found by multiplying the highest exponent prime factors of 2338 and 2345. First we will calculate the prime factors of 2338 and 2345.

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 2345


5 2345
7 469
67 67
1

Prime factors of 2345 are 5, 7,67. Prime factorization of 2345 in exponential form is:

2345 = 51×71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 2338 and 2345.

LCM(2338,2345) = 21×51×71×671×1671
LCM(2338,2345) = 783230

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 2345

List of positive integer factors of 2345 that divides 2345 without a remainder.

1, 5, 7, 35, 67, 335, 469, 2345

Least Common Multiple of 2338 and 2345 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 2345, than apply into the LCM equation.

GCF(2338,2345) = 7
LCM(2338,2345) = ( 2338 × 2345) / 7
LCM(2338,2345) = 5482610 / 7
LCM(2338,2345) = 783230

Properties of LCM 2338 and 2345

(i) The LCM of 2345 and 2338 is associative

LCM of 2338 and 2345 = LCM of 2345 and 2338

Related Least Common Multiples of 2338

Related Least Common Multiples of 2345

Frequently Asked Questions on LCM of 2338 and 2345

1. What is the LCM of 2338 and 2345?

Answer: LCM of 2338 and 2345 is 783230.

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 2345?

Answer: Factors of 2345 are 1, 5, 7, 35, 67, 335, 469, 2345. There are 8 integers that are factors of 2345. The greatest factor of 2345 is 2345.

4. How to Find the LCM of 2338 and 2345?

Answer:

Least Common Multiple of 2338 and 2345 = 783230

Step 1: Find the prime factorization of 2338

2338 = 2 x 7 x 167

Step 2: Find the prime factorization of 2345

2345 = 5 x 7 x 67

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

LCM = 783230 = 2 x 5 x 7 x 67 x 167

Step 4: Therefore, the least common multiple of 2338 and 2345 is 783230.