Least Common Multiple of 5317 and 5324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5317 and 5324 the smallest integer that is 28307708 that is divisible by both numbers.

Least Common Multiple (LCM) of 5317 and 5324 is 28307708.

LCM(5317,5324) = 28307708

LCM of 5317 and 5324

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

LCM of:
and

Least Common Multiple of 5317 and 5324

LCM of 5317 and 5324 is 28307708

Least common multiple can be found by multiplying the highest exponent prime factors of 5317 and 5324. First we will calculate the prime factors of 5317 and 5324.

Prime Factorization of 5317


13 5317
409 409
1

Prime factors of 5317 are 13,409. Prime factorization of 5317 in exponential form is:

5317 = 131×4091

Prime Factorization of 5324


2 5324
2 2662
11 1331
11 121
11 11
1

Prime factors of 5324 are 2,11. Prime factorization of 5324 in exponential form is:

5324 = 22×113

Now multiplying the highest exponent prime factors to calculate the LCM of 5317 and 5324.

LCM(5317,5324) = 22×113×131×4091
LCM(5317,5324) = 28307708

Factors of 5317

List of positive integer factors of 5317 that divides 5317 without a remainder.

1, 13, 409, 5317

Factors of 5324

List of positive integer factors of 5324 that divides 5324 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324

Least Common Multiple of 5317 and 5324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5317 and 5324, than apply into the LCM equation.

GCF(5317,5324) = 1
LCM(5317,5324) = ( 5317 × 5324) / 1
LCM(5317,5324) = 28307708 / 1
LCM(5317,5324) = 28307708

Properties of LCM 5317 and 5324

(i) The LCM of 5324 and 5317 is associative

LCM of 5317 and 5324 = LCM of 5324 and 5317

Related Least Common Multiples of 5317

Related Least Common Multiples of 5324

Frequently Asked Questions on LCM of 5317 and 5324

1. What is the LCM of 5317 and 5324?

Answer: LCM of 5317 and 5324 is 28307708.

2. What are the Factors of 5317?

Answer: Factors of 5317 are 1, 13, 409, 5317. There are 4 integers that are factors of 5317. The greatest factor of 5317 is 5317.

3. What are the Factors of 5324?

Answer: Factors of 5324 are 1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324. There are 12 integers that are factors of 5324. The greatest factor of 5324 is 5324.

4. How to Find the LCM of 5317 and 5324?

Answer:

Least Common Multiple of 5317 and 5324 = 28307708

Step 1: Find the prime factorization of 5317

5317 = 13 x 409

Step 2: Find the prime factorization of 5324

5324 = 2 x 2 x 11 x 11 x 11

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

LCM = 28307708 = 2 x 2 x 11 x 11 x 11 x 13 x 409

Step 4: Therefore, the least common multiple of 5317 and 5324 is 28307708.