Least Common Multiple of 5338 and 5343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5338 and 5343 the smallest integer that is 28520934 that is divisible by both numbers.

Least Common Multiple (LCM) of 5338 and 5343 is 28520934.

LCM(5338,5343) = 28520934

LCM of 5338 and 5343

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

LCM of:
and

Least Common Multiple of 5338 and 5343

LCM of 5338 and 5343 is 28520934

Least common multiple can be found by multiplying the highest exponent prime factors of 5338 and 5343. First we will calculate the prime factors of 5338 and 5343.

Prime Factorization of 5338


2 5338
17 2669
157 157
1

Prime factors of 5338 are 2, 17,157. Prime factorization of 5338 in exponential form is:

5338 = 21×171×1571

Prime Factorization of 5343


3 5343
13 1781
137 137
1

Prime factors of 5343 are 3, 13,137. Prime factorization of 5343 in exponential form is:

5343 = 31×131×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 5338 and 5343.

LCM(5338,5343) = 21×31×131×171×1371×1571
LCM(5338,5343) = 28520934

Factors of 5338

List of positive integer factors of 5338 that divides 5338 without a remainder.

1, 2, 17, 34, 157, 314, 2669, 5338

Factors of 5343

List of positive integer factors of 5343 that divides 5343 without a remainder.

1, 3, 13, 39, 137, 411, 1781, 5343

Least Common Multiple of 5338 and 5343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5338 and 5343, than apply into the LCM equation.

GCF(5338,5343) = 1
LCM(5338,5343) = ( 5338 × 5343) / 1
LCM(5338,5343) = 28520934 / 1
LCM(5338,5343) = 28520934

Properties of LCM 5338 and 5343

(i) The LCM of 5343 and 5338 is associative

LCM of 5338 and 5343 = LCM of 5343 and 5338

Related Least Common Multiples of 5338

Related Least Common Multiples of 5343

Frequently Asked Questions on LCM of 5338 and 5343

1. What is the LCM of 5338 and 5343?

Answer: LCM of 5338 and 5343 is 28520934.

2. What are the Factors of 5338?

Answer: Factors of 5338 are 1, 2, 17, 34, 157, 314, 2669, 5338. There are 8 integers that are factors of 5338. The greatest factor of 5338 is 5338.

3. What are the Factors of 5343?

Answer: Factors of 5343 are 1, 3, 13, 39, 137, 411, 1781, 5343. There are 8 integers that are factors of 5343. The greatest factor of 5343 is 5343.

4. How to Find the LCM of 5338 and 5343?

Answer:

Least Common Multiple of 5338 and 5343 = 28520934

Step 1: Find the prime factorization of 5338

5338 = 2 x 17 x 157

Step 2: Find the prime factorization of 5343

5343 = 3 x 13 x 137

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

LCM = 28520934 = 2 x 3 x 13 x 17 x 137 x 157

Step 4: Therefore, the least common multiple of 5338 and 5343 is 28520934.