Least Common Multiple of 5337 and 5341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5337 and 5341 the smallest integer that is 28504917 that is divisible by both numbers.

Least Common Multiple (LCM) of 5337 and 5341 is 28504917.

LCM(5337,5341) = 28504917

LCM of 5337 and 5341

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

LCM of:
and

Least Common Multiple of 5337 and 5341

LCM of 5337 and 5341 is 28504917

Least common multiple can be found by multiplying the highest exponent prime factors of 5337 and 5341. First we will calculate the prime factors of 5337 and 5341.

Prime Factorization of 5337


3 5337
3 1779
593 593
1

Prime factors of 5337 are 3,593. Prime factorization of 5337 in exponential form is:

5337 = 32×5931

Prime Factorization of 5341


7 5341
7 763
109 109
1

Prime factors of 5341 are 7,109. Prime factorization of 5341 in exponential form is:

5341 = 72×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 5337 and 5341.

LCM(5337,5341) = 32×72×1091×5931
LCM(5337,5341) = 28504917

Factors of 5337

List of positive integer factors of 5337 that divides 5337 without a remainder.

1, 3, 9, 593, 1779, 5337

Factors of 5341

List of positive integer factors of 5341 that divides 5341 without a remainder.

1, 7, 49, 109, 763, 5341

Least Common Multiple of 5337 and 5341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5337 and 5341, than apply into the LCM equation.

GCF(5337,5341) = 1
LCM(5337,5341) = ( 5337 × 5341) / 1
LCM(5337,5341) = 28504917 / 1
LCM(5337,5341) = 28504917

Properties of LCM 5337 and 5341

(i) The LCM of 5341 and 5337 is associative

LCM of 5337 and 5341 = LCM of 5341 and 5337

Related Least Common Multiples of 5337

Related Least Common Multiples of 5341

Frequently Asked Questions on LCM of 5337 and 5341

1. What is the LCM of 5337 and 5341?

Answer: LCM of 5337 and 5341 is 28504917.

2. What are the Factors of 5337?

Answer: Factors of 5337 are 1, 3, 9, 593, 1779, 5337. There are 6 integers that are factors of 5337. The greatest factor of 5337 is 5337.

3. What are the Factors of 5341?

Answer: Factors of 5341 are 1, 7, 49, 109, 763, 5341. There are 6 integers that are factors of 5341. The greatest factor of 5341 is 5341.

4. How to Find the LCM of 5337 and 5341?

Answer:

Least Common Multiple of 5337 and 5341 = 28504917

Step 1: Find the prime factorization of 5337

5337 = 3 x 3 x 593

Step 2: Find the prime factorization of 5341

5341 = 7 x 7 x 109

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

LCM = 28504917 = 3 x 3 x 7 x 7 x 109 x 593

Step 4: Therefore, the least common multiple of 5337 and 5341 is 28504917.