Least Common Multiple of 5330 and 5338

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 5338 the smallest integer that is 14225770 that is divisible by both numbers.

Least Common Multiple (LCM) of 5330 and 5338 is 14225770.

LCM(5330,5338) = 14225770

LCM of 5330 and 5338

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

LCM of:
and

Least Common Multiple of 5330 and 5338

LCM of 5330 and 5338 is 14225770

Least common multiple can be found by multiplying the highest exponent prime factors of 5330 and 5338. First we will calculate the prime factors of 5330 and 5338.

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 5338


2 5338
17 2669
157 157
1

Prime factors of 5338 are 2, 17,157. Prime factorization of 5338 in exponential form is:

5338 = 21×171×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 5330 and 5338.

LCM(5330,5338) = 21×51×131×171×411×1571
LCM(5330,5338) = 14225770

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 5338

List of positive integer factors of 5338 that divides 5338 without a remainder.

1, 2, 17, 34, 157, 314, 2669, 5338

Least Common Multiple of 5330 and 5338 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 5338, than apply into the LCM equation.

GCF(5330,5338) = 2
LCM(5330,5338) = ( 5330 × 5338) / 2
LCM(5330,5338) = 28451540 / 2
LCM(5330,5338) = 14225770

Properties of LCM 5330 and 5338

(i) The LCM of 5338 and 5330 is associative

LCM of 5330 and 5338 = LCM of 5338 and 5330

Related Least Common Multiples of 5330

Related Least Common Multiples of 5338

Frequently Asked Questions on LCM of 5330 and 5338

1. What is the LCM of 5330 and 5338?

Answer: LCM of 5330 and 5338 is 14225770.

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 5338?

Answer: Factors of 5338 are 1, 2, 17, 34, 157, 314, 2669, 5338. There are 8 integers that are factors of 5338. The greatest factor of 5338 is 5338.

4. How to Find the LCM of 5330 and 5338?

Answer:

Least Common Multiple of 5330 and 5338 = 14225770

Step 1: Find the prime factorization of 5330

5330 = 2 x 5 x 13 x 41

Step 2: Find the prime factorization of 5338

5338 = 2 x 17 x 157

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

LCM = 14225770 = 2 x 5 x 13 x 17 x 41 x 157

Step 4: Therefore, the least common multiple of 5330 and 5338 is 14225770.