Least Common Multiple of 5324 and 5331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5324 and 5331 the smallest integer that is 28382244 that is divisible by both numbers.

Least Common Multiple (LCM) of 5324 and 5331 is 28382244.

LCM(5324,5331) = 28382244

LCM of 5324 and 5331

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

LCM of:
and

Least Common Multiple of 5324 and 5331

LCM of 5324 and 5331 is 28382244

Least common multiple can be found by multiplying the highest exponent prime factors of 5324 and 5331. First we will calculate the prime factors of 5324 and 5331.

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

Prime Factorization of 5331


3 5331
1777 1777
1

Prime factors of 5331 are 3,1777. Prime factorization of 5331 in exponential form is:

5331 = 31×17771

Now multiplying the highest exponent prime factors to calculate the LCM of 5324 and 5331.

LCM(5324,5331) = 22×31×113×17771
LCM(5324,5331) = 28382244

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

Factors of 5331

List of positive integer factors of 5331 that divides 5331 without a remainder.

1, 3, 1777, 5331

Least Common Multiple of 5324 and 5331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5324 and 5331, than apply into the LCM equation.

GCF(5324,5331) = 1
LCM(5324,5331) = ( 5324 × 5331) / 1
LCM(5324,5331) = 28382244 / 1
LCM(5324,5331) = 28382244

Properties of LCM 5324 and 5331

(i) The LCM of 5331 and 5324 is associative

LCM of 5324 and 5331 = LCM of 5331 and 5324

Related Least Common Multiples of 5324

Related Least Common Multiples of 5331

Frequently Asked Questions on LCM of 5324 and 5331

1. What is the LCM of 5324 and 5331?

Answer: LCM of 5324 and 5331 is 28382244.

2. 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.

3. What are the Factors of 5331?

Answer: Factors of 5331 are 1, 3, 1777, 5331. There are 4 integers that are factors of 5331. The greatest factor of 5331 is 5331.

4. How to Find the LCM of 5324 and 5331?

Answer:

Least Common Multiple of 5324 and 5331 = 28382244

Step 1: Find the prime factorization of 5324

5324 = 2 x 2 x 11 x 11 x 11

Step 2: Find the prime factorization of 5331

5331 = 3 x 1777

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

LCM = 28382244 = 2 x 2 x 3 x 11 x 11 x 11 x 1777

Step 4: Therefore, the least common multiple of 5324 and 5331 is 28382244.