Least Common Multiple of 5344 and 5348

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 5348 the smallest integer that is 7144928 that is divisible by both numbers.

Least Common Multiple (LCM) of 5344 and 5348 is 7144928.

LCM(5344,5348) = 7144928

LCM of 5344 and 5348

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

LCM of:
and

Least Common Multiple of 5344 and 5348

LCM of 5344 and 5348 is 7144928

Least common multiple can be found by multiplying the highest exponent prime factors of 5344 and 5348. First we will calculate the prime factors of 5344 and 5348.

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 5348


2 5348
2 2674
7 1337
191 191
1

Prime factors of 5348 are 2, 7,191. Prime factorization of 5348 in exponential form is:

5348 = 22×71×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 5344 and 5348.

LCM(5344,5348) = 25×71×1671×1911
LCM(5344,5348) = 7144928

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 5348

List of positive integer factors of 5348 that divides 5348 without a remainder.

1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348

Least Common Multiple of 5344 and 5348 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 5348, than apply into the LCM equation.

GCF(5344,5348) = 4
LCM(5344,5348) = ( 5344 × 5348) / 4
LCM(5344,5348) = 28579712 / 4
LCM(5344,5348) = 7144928

Properties of LCM 5344 and 5348

(i) The LCM of 5348 and 5344 is associative

LCM of 5344 and 5348 = LCM of 5348 and 5344

Related Least Common Multiples of 5344

Related Least Common Multiples of 5348

Frequently Asked Questions on LCM of 5344 and 5348

1. What is the LCM of 5344 and 5348?

Answer: LCM of 5344 and 5348 is 7144928.

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 5348?

Answer: Factors of 5348 are 1, 2, 4, 7, 14, 28, 191, 382, 764, 1337, 2674, 5348. There are 12 integers that are factors of 5348. The greatest factor of 5348 is 5348.

4. How to Find the LCM of 5344 and 5348?

Answer:

Least Common Multiple of 5344 and 5348 = 7144928

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 5348

5348 = 2 x 2 x 7 x 191

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

LCM = 7144928 = 2 x 2 x 2 x 2 x 2 x 7 x 167 x 191

Step 4: Therefore, the least common multiple of 5344 and 5348 is 7144928.