Least Common Multiple of 5321 and 5329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5321 and 5329 the smallest integer that is 28355609 that is divisible by both numbers.

Least Common Multiple (LCM) of 5321 and 5329 is 28355609.

LCM(5321,5329) = 28355609

LCM of 5321 and 5329

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

LCM of:
and

Least Common Multiple of 5321 and 5329

LCM of 5321 and 5329 is 28355609

Least common multiple can be found by multiplying the highest exponent prime factors of 5321 and 5329. First we will calculate the prime factors of 5321 and 5329.

Prime Factorization of 5321


17 5321
313 313
1

Prime factors of 5321 are 17,313. Prime factorization of 5321 in exponential form is:

5321 = 171×3131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5321 and 5329.

LCM(5321,5329) = 171×732×3131
LCM(5321,5329) = 28355609

Factors of 5321

List of positive integer factors of 5321 that divides 5321 without a remainder.

1, 17, 313, 5321

Factors of 5329

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

1, 73, 5329

Least Common Multiple of 5321 and 5329 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5321 and 5329, than apply into the LCM equation.

GCF(5321,5329) = 1
LCM(5321,5329) = ( 5321 × 5329) / 1
LCM(5321,5329) = 28355609 / 1
LCM(5321,5329) = 28355609

Properties of LCM 5321 and 5329

(i) The LCM of 5329 and 5321 is associative

LCM of 5321 and 5329 = LCM of 5329 and 5321

Related Least Common Multiples of 5321

Related Least Common Multiples of 5329

Frequently Asked Questions on LCM of 5321 and 5329

1. What is the LCM of 5321 and 5329?

Answer: LCM of 5321 and 5329 is 28355609.

2. What are the Factors of 5321?

Answer: Factors of 5321 are 1, 17, 313, 5321. There are 4 integers that are factors of 5321. The greatest factor of 5321 is 5321.

3. 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.

4. How to Find the LCM of 5321 and 5329?

Answer:

Least Common Multiple of 5321 and 5329 = 28355609

Step 1: Find the prime factorization of 5321

5321 = 17 x 313

Step 2: Find the prime factorization of 5329

5329 = 73 x 73

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

LCM = 28355609 = 17 x 73 x 73 x 313

Step 4: Therefore, the least common multiple of 5321 and 5329 is 28355609.