Least Common Multiple of 5331 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 5331 and 5337 the smallest integer that is 9483849 that is divisible by both numbers.

Least Common Multiple (LCM) of 5331 and 5337 is 9483849.

LCM(5331,5337) = 9483849

LCM of 5331 and 5337

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

LCM of:
and

Least Common Multiple of 5331 and 5337

LCM of 5331 and 5337 is 9483849

Least common multiple can be found by multiplying the highest exponent prime factors of 5331 and 5337. First we will calculate the prime factors of 5331 and 5337.

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

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 5331 and 5337.

LCM(5331,5337) = 32×5931×17771
LCM(5331,5337) = 9483849

Factors of 5331

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

1, 3, 1777, 5331

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 5331 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 5331 and 5337, than apply into the LCM equation.

GCF(5331,5337) = 3
LCM(5331,5337) = ( 5331 × 5337) / 3
LCM(5331,5337) = 28451547 / 3
LCM(5331,5337) = 9483849

Properties of LCM 5331 and 5337

(i) The LCM of 5337 and 5331 is associative

LCM of 5331 and 5337 = LCM of 5337 and 5331

Related Least Common Multiples of 5331

Related Least Common Multiples of 5337

Frequently Asked Questions on LCM of 5331 and 5337

1. What is the LCM of 5331 and 5337?

Answer: LCM of 5331 and 5337 is 9483849.

2. 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.

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 5331 and 5337?

Answer:

Least Common Multiple of 5331 and 5337 = 9483849

Step 1: Find the prime factorization of 5331

5331 = 3 x 1777

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 = 9483849 = 3 x 3 x 593 x 1777

Step 4: Therefore, the least common multiple of 5331 and 5337 is 9483849.