Least Common Multiple of 5344 and 5349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5344 and 5349 the smallest integer that is 28585056 that is divisible by both numbers.

Least Common Multiple (LCM) of 5344 and 5349 is 28585056.

LCM(5344,5349) = 28585056

LCM of 5344 and 5349

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

LCM of:
and

Least Common Multiple of 5344 and 5349

LCM of 5344 and 5349 is 28585056

Least common multiple can be found by multiplying the highest exponent prime factors of 5344 and 5349. First we will calculate the prime factors of 5344 and 5349.

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

Prime Factorization of 5349


3 5349
1783 1783
1

Prime factors of 5349 are 3,1783. Prime factorization of 5349 in exponential form is:

5349 = 31×17831

Now multiplying the highest exponent prime factors to calculate the LCM of 5344 and 5349.

LCM(5344,5349) = 25×31×1671×17831
LCM(5344,5349) = 28585056

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

Factors of 5349

List of positive integer factors of 5349 that divides 5349 without a remainder.

1, 3, 1783, 5349

Least Common Multiple of 5344 and 5349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5344 and 5349, than apply into the LCM equation.

GCF(5344,5349) = 1
LCM(5344,5349) = ( 5344 × 5349) / 1
LCM(5344,5349) = 28585056 / 1
LCM(5344,5349) = 28585056

Properties of LCM 5344 and 5349

(i) The LCM of 5349 and 5344 is associative

LCM of 5344 and 5349 = LCM of 5349 and 5344

Related Least Common Multiples of 5344

Related Least Common Multiples of 5349

Frequently Asked Questions on LCM of 5344 and 5349

1. What is the LCM of 5344 and 5349?

Answer: LCM of 5344 and 5349 is 28585056.

2. 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.

3. What are the Factors of 5349?

Answer: Factors of 5349 are 1, 3, 1783, 5349. There are 4 integers that are factors of 5349. The greatest factor of 5349 is 5349.

4. How to Find the LCM of 5344 and 5349?

Answer:

Least Common Multiple of 5344 and 5349 = 28585056

Step 1: Find the prime factorization of 5344

5344 = 2 x 2 x 2 x 2 x 2 x 167

Step 2: Find the prime factorization of 5349

5349 = 3 x 1783

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

LCM = 28585056 = 2 x 2 x 2 x 2 x 2 x 3 x 167 x 1783

Step 4: Therefore, the least common multiple of 5344 and 5349 is 28585056.