Least Common Multiple of 5338 and 5342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5338 and 5342 the smallest integer that is 14257798 that is divisible by both numbers.

Least Common Multiple (LCM) of 5338 and 5342 is 14257798.

LCM(5338,5342) = 14257798

LCM of 5338 and 5342

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

LCM of:
and

Least Common Multiple of 5338 and 5342

LCM of 5338 and 5342 is 14257798

Least common multiple can be found by multiplying the highest exponent prime factors of 5338 and 5342. First we will calculate the prime factors of 5338 and 5342.

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

Prime Factorization of 5342


2 5342
2671 2671
1

Prime factors of 5342 are 2,2671. Prime factorization of 5342 in exponential form is:

5342 = 21×26711

Now multiplying the highest exponent prime factors to calculate the LCM of 5338 and 5342.

LCM(5338,5342) = 21×171×1571×26711
LCM(5338,5342) = 14257798

Factors of 5338

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

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

Factors of 5342

List of positive integer factors of 5342 that divides 5342 without a remainder.

1, 2, 2671, 5342

Least Common Multiple of 5338 and 5342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5338 and 5342, than apply into the LCM equation.

GCF(5338,5342) = 2
LCM(5338,5342) = ( 5338 × 5342) / 2
LCM(5338,5342) = 28515596 / 2
LCM(5338,5342) = 14257798

Properties of LCM 5338 and 5342

(i) The LCM of 5342 and 5338 is associative

LCM of 5338 and 5342 = LCM of 5342 and 5338

Related Least Common Multiples of 5338

Related Least Common Multiples of 5342

Frequently Asked Questions on LCM of 5338 and 5342

1. What is the LCM of 5338 and 5342?

Answer: LCM of 5338 and 5342 is 14257798.

2. 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.

3. What are the Factors of 5342?

Answer: Factors of 5342 are 1, 2, 2671, 5342. There are 4 integers that are factors of 5342. The greatest factor of 5342 is 5342.

4. How to Find the LCM of 5338 and 5342?

Answer:

Least Common Multiple of 5338 and 5342 = 14257798

Step 1: Find the prime factorization of 5338

5338 = 2 x 17 x 157

Step 2: Find the prime factorization of 5342

5342 = 2 x 2671

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

LCM = 14257798 = 2 x 17 x 157 x 2671

Step 4: Therefore, the least common multiple of 5338 and 5342 is 14257798.