Least Common Multiple of 5330 and 5335

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 5335 the smallest integer that is 5687110 that is divisible by both numbers.

Least Common Multiple (LCM) of 5330 and 5335 is 5687110.

LCM(5330,5335) = 5687110

LCM of 5330 and 5335

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

LCM of:
and

Least Common Multiple of 5330 and 5335

LCM of 5330 and 5335 is 5687110

Least common multiple can be found by multiplying the highest exponent prime factors of 5330 and 5335. First we will calculate the prime factors of 5330 and 5335.

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 5335


5 5335
11 1067
97 97
1

Prime factors of 5335 are 5, 11,97. Prime factorization of 5335 in exponential form is:

5335 = 51×111×971

Now multiplying the highest exponent prime factors to calculate the LCM of 5330 and 5335.

LCM(5330,5335) = 21×51×111×131×411×971
LCM(5330,5335) = 5687110

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 5335

List of positive integer factors of 5335 that divides 5335 without a remainder.

1, 5, 11, 55, 97, 485, 1067, 5335

Least Common Multiple of 5330 and 5335 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 5335, than apply into the LCM equation.

GCF(5330,5335) = 5
LCM(5330,5335) = ( 5330 × 5335) / 5
LCM(5330,5335) = 28435550 / 5
LCM(5330,5335) = 5687110

Properties of LCM 5330 and 5335

(i) The LCM of 5335 and 5330 is associative

LCM of 5330 and 5335 = LCM of 5335 and 5330

Related Least Common Multiples of 5330

Related Least Common Multiples of 5335

Frequently Asked Questions on LCM of 5330 and 5335

1. What is the LCM of 5330 and 5335?

Answer: LCM of 5330 and 5335 is 5687110.

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 5335?

Answer: Factors of 5335 are 1, 5, 11, 55, 97, 485, 1067, 5335. There are 8 integers that are factors of 5335. The greatest factor of 5335 is 5335.

4. How to Find the LCM of 5330 and 5335?

Answer:

Least Common Multiple of 5330 and 5335 = 5687110

Step 1: Find the prime factorization of 5330

5330 = 2 x 5 x 13 x 41

Step 2: Find the prime factorization of 5335

5335 = 5 x 11 x 97

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

LCM = 5687110 = 2 x 5 x 11 x 13 x 41 x 97

Step 4: Therefore, the least common multiple of 5330 and 5335 is 5687110.