Least Common Multiple of 5339 and 5344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5339 and 5344 the smallest integer that is 28531616 that is divisible by both numbers.

Least Common Multiple (LCM) of 5339 and 5344 is 28531616.

LCM(5339,5344) = 28531616

LCM of 5339 and 5344

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

LCM of:
and

Least Common Multiple of 5339 and 5344

LCM of 5339 and 5344 is 28531616

Least common multiple can be found by multiplying the highest exponent prime factors of 5339 and 5344. First we will calculate the prime factors of 5339 and 5344.

Prime Factorization of 5339


19 5339
281 281
1

Prime factors of 5339 are 19,281. Prime factorization of 5339 in exponential form is:

5339 = 191×2811

Prime Factorization of 5344


2 5344
2 2672
2 1336
2 668
2 334
167 167
1

Prime factors of 5344 are 2,167. Prime factorization of 5344 in exponential form is:

5344 = 25×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 5339 and 5344.

LCM(5339,5344) = 25×191×1671×2811
LCM(5339,5344) = 28531616

Factors of 5339

List of positive integer factors of 5339 that divides 5339 without a remainder.

1, 19, 281, 5339

Factors of 5344

List of positive integer factors of 5344 that divides 5344 without a remainder.

1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672, 5344

Least Common Multiple of 5339 and 5344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5339 and 5344, than apply into the LCM equation.

GCF(5339,5344) = 1
LCM(5339,5344) = ( 5339 × 5344) / 1
LCM(5339,5344) = 28531616 / 1
LCM(5339,5344) = 28531616

Properties of LCM 5339 and 5344

(i) The LCM of 5344 and 5339 is associative

LCM of 5339 and 5344 = LCM of 5344 and 5339

Related Least Common Multiples of 5339

Related Least Common Multiples of 5344

Frequently Asked Questions on LCM of 5339 and 5344

1. What is the LCM of 5339 and 5344?

Answer: LCM of 5339 and 5344 is 28531616.

2. What are the Factors of 5339?

Answer: Factors of 5339 are 1, 19, 281, 5339. There are 4 integers that are factors of 5339. The greatest factor of 5339 is 5339.

3. What are the Factors of 5344?

Answer: Factors of 5344 are 1, 2, 4, 8, 16, 32, 167, 334, 668, 1336, 2672, 5344. There are 12 integers that are factors of 5344. The greatest factor of 5344 is 5344.

4. How to Find the LCM of 5339 and 5344?

Answer:

Least Common Multiple of 5339 and 5344 = 28531616

Step 1: Find the prime factorization of 5339

5339 = 19 x 281

Step 2: Find the prime factorization of 5344

5344 = 2 x 2 x 2 x 2 x 2 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 = 28531616 = 2 x 2 x 2 x 2 x 2 x 19 x 167 x 281

Step 4: Therefore, the least common multiple of 5339 and 5344 is 28531616.