Least Common Multiple of 5330 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 5330 and 5337 the smallest integer that is 28446210 that is divisible by both numbers.

Least Common Multiple (LCM) of 5330 and 5337 is 28446210.

LCM(5330,5337) = 28446210

LCM of 5330 and 5337

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

LCM of:
and

Least Common Multiple of 5330 and 5337

LCM of 5330 and 5337 is 28446210

Least common multiple can be found by multiplying the highest exponent prime factors of 5330 and 5337. First we will calculate the prime factors of 5330 and 5337.

Prime Factorization of 5330


2 5330
5 2665
13 533
41 41
1

Prime factors of 5330 are 2, 5, 13,41. Prime factorization of 5330 in exponential form is:

5330 = 21×51×131×411

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 5330 and 5337.

LCM(5330,5337) = 21×32×51×131×411×5931
LCM(5330,5337) = 28446210

Factors of 5330

List of positive integer factors of 5330 that divides 5330 without a remainder.

1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 205, 410, 533, 1066, 2665, 5330

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 5330 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 5330 and 5337, than apply into the LCM equation.

GCF(5330,5337) = 1
LCM(5330,5337) = ( 5330 × 5337) / 1
LCM(5330,5337) = 28446210 / 1
LCM(5330,5337) = 28446210

Properties of LCM 5330 and 5337

(i) The LCM of 5337 and 5330 is associative

LCM of 5330 and 5337 = LCM of 5337 and 5330

Related Least Common Multiples of 5330

Related Least Common Multiples of 5337

Frequently Asked Questions on LCM of 5330 and 5337

1. What is the LCM of 5330 and 5337?

Answer: LCM of 5330 and 5337 is 28446210.

2. What are the Factors of 5330?

Answer: Factors of 5330 are 1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 205, 410, 533, 1066, 2665, 5330. There are 16 integers that are factors of 5330. The greatest factor of 5330 is 5330.

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 5330 and 5337?

Answer:

Least Common Multiple of 5330 and 5337 = 28446210

Step 1: Find the prime factorization of 5330

5330 = 2 x 5 x 13 x 41

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 = 28446210 = 2 x 3 x 3 x 5 x 13 x 41 x 593

Step 4: Therefore, the least common multiple of 5330 and 5337 is 28446210.