Least Common Multiple of 5344 and 5351

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 5351 the smallest integer that is 28595744 that is divisible by both numbers.

Least Common Multiple (LCM) of 5344 and 5351 is 28595744.

LCM(5344,5351) = 28595744

LCM of 5344 and 5351

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

LCM of:
and

Least Common Multiple of 5344 and 5351

LCM of 5344 and 5351 is 28595744

Least common multiple can be found by multiplying the highest exponent prime factors of 5344 and 5351. First we will calculate the prime factors of 5344 and 5351.

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 5351


5351 5351
1

Prime factors of 5351 are 5351. Prime factorization of 5351 in exponential form is:

5351 = 53511

Now multiplying the highest exponent prime factors to calculate the LCM of 5344 and 5351.

LCM(5344,5351) = 25×1671×53511
LCM(5344,5351) = 28595744

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 5351

List of positive integer factors of 5351 that divides 5351 without a remainder.

1, 5351

Least Common Multiple of 5344 and 5351 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 5351, than apply into the LCM equation.

GCF(5344,5351) = 1
LCM(5344,5351) = ( 5344 × 5351) / 1
LCM(5344,5351) = 28595744 / 1
LCM(5344,5351) = 28595744

Properties of LCM 5344 and 5351

(i) The LCM of 5351 and 5344 is associative

LCM of 5344 and 5351 = LCM of 5351 and 5344

Related Least Common Multiples of 5344

Related Least Common Multiples of 5351

Frequently Asked Questions on LCM of 5344 and 5351

1. What is the LCM of 5344 and 5351?

Answer: LCM of 5344 and 5351 is 28595744.

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 5351?

Answer: Factors of 5351 are 1, 5351. There are 2 integers that are factors of 5351. The greatest factor of 5351 is 5351.

4. How to Find the LCM of 5344 and 5351?

Answer:

Least Common Multiple of 5344 and 5351 = 28595744

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 5351

5351 = 5351

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

LCM = 28595744 = 2 x 2 x 2 x 2 x 2 x 167 x 5351

Step 4: Therefore, the least common multiple of 5344 and 5351 is 28595744.