Least Common Multiple of 5329 and 5337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5329 and 5337 the smallest integer that is 28440873 that is divisible by both numbers.

Least Common Multiple (LCM) of 5329 and 5337 is 28440873.

LCM(5329,5337) = 28440873

LCM of 5329 and 5337

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

LCM of:
and

Least Common Multiple of 5329 and 5337

LCM of 5329 and 5337 is 28440873

Least common multiple can be found by multiplying the highest exponent prime factors of 5329 and 5337. First we will calculate the prime factors of 5329 and 5337.

Prime Factorization of 5329


73 5329
73 73
1

Prime factors of 5329 are 73. Prime factorization of 5329 in exponential form is:

5329 = 732

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5329 and 5337.

LCM(5329,5337) = 32×732×5931
LCM(5329,5337) = 28440873

Factors of 5329

List of positive integer factors of 5329 that divides 5329 without a remainder.

1, 73, 5329

Factors of 5337

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

1, 3, 9, 593, 1779, 5337

Least Common Multiple of 5329 and 5337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5329 and 5337, than apply into the LCM equation.

GCF(5329,5337) = 1
LCM(5329,5337) = ( 5329 × 5337) / 1
LCM(5329,5337) = 28440873 / 1
LCM(5329,5337) = 28440873

Properties of LCM 5329 and 5337

(i) The LCM of 5337 and 5329 is associative

LCM of 5329 and 5337 = LCM of 5337 and 5329

Related Least Common Multiples of 5329

Related Least Common Multiples of 5337

Frequently Asked Questions on LCM of 5329 and 5337

1. What is the LCM of 5329 and 5337?

Answer: LCM of 5329 and 5337 is 28440873.

2. What are the Factors of 5329?

Answer: Factors of 5329 are 1, 73, 5329. There are 3 integers that are factors of 5329. The greatest factor of 5329 is 5329.

3. 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.

4. How to Find the LCM of 5329 and 5337?

Answer:

Least Common Multiple of 5329 and 5337 = 28440873

Step 1: Find the prime factorization of 5329

5329 = 73 x 73

Step 2: Find the prime factorization of 5337

5337 = 3 x 3 x 593

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

LCM = 28440873 = 3 x 3 x 73 x 73 x 593

Step 4: Therefore, the least common multiple of 5329 and 5337 is 28440873.