Least Common Multiple of 5322 and 5330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5322 and 5330 the smallest integer that is 14183130 that is divisible by both numbers.

Least Common Multiple (LCM) of 5322 and 5330 is 14183130.

LCM(5322,5330) = 14183130

LCM of 5322 and 5330

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

LCM of:
and

Least Common Multiple of 5322 and 5330

LCM of 5322 and 5330 is 14183130

Least common multiple can be found by multiplying the highest exponent prime factors of 5322 and 5330. First we will calculate the prime factors of 5322 and 5330.

Prime Factorization of 5322


2 5322
3 2661
887 887
1

Prime factors of 5322 are 2, 3,887. Prime factorization of 5322 in exponential form is:

5322 = 21×31×8871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5322 and 5330.

LCM(5322,5330) = 21×31×51×131×411×8871
LCM(5322,5330) = 14183130

Factors of 5322

List of positive integer factors of 5322 that divides 5322 without a remainder.

1, 2, 3, 6, 887, 1774, 2661, 5322

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

Least Common Multiple of 5322 and 5330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5322 and 5330, than apply into the LCM equation.

GCF(5322,5330) = 2
LCM(5322,5330) = ( 5322 × 5330) / 2
LCM(5322,5330) = 28366260 / 2
LCM(5322,5330) = 14183130

Properties of LCM 5322 and 5330

(i) The LCM of 5330 and 5322 is associative

LCM of 5322 and 5330 = LCM of 5330 and 5322

Related Least Common Multiples of 5322

Related Least Common Multiples of 5330

Frequently Asked Questions on LCM of 5322 and 5330

1. What is the LCM of 5322 and 5330?

Answer: LCM of 5322 and 5330 is 14183130.

2. What are the Factors of 5322?

Answer: Factors of 5322 are 1, 2, 3, 6, 887, 1774, 2661, 5322. There are 8 integers that are factors of 5322. The greatest factor of 5322 is 5322.

3. 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.

4. How to Find the LCM of 5322 and 5330?

Answer:

Least Common Multiple of 5322 and 5330 = 14183130

Step 1: Find the prime factorization of 5322

5322 = 2 x 3 x 887

Step 2: Find the prime factorization of 5330

5330 = 2 x 5 x 13 x 41

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

LCM = 14183130 = 2 x 3 x 5 x 13 x 41 x 887

Step 4: Therefore, the least common multiple of 5322 and 5330 is 14183130.