Least Common Multiple of 5338 and 5346

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 5346 the smallest integer that is 14268474 that is divisible by both numbers.

Least Common Multiple (LCM) of 5338 and 5346 is 14268474.

LCM(5338,5346) = 14268474

LCM of 5338 and 5346

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

LCM of:
and

Least Common Multiple of 5338 and 5346

LCM of 5338 and 5346 is 14268474

Least common multiple can be found by multiplying the highest exponent prime factors of 5338 and 5346. First we will calculate the prime factors of 5338 and 5346.

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 5346


2 5346
3 2673
3 891
3 297
3 99
3 33
11 11
1

Prime factors of 5346 are 2, 3,11. Prime factorization of 5346 in exponential form is:

5346 = 21×35×111

Now multiplying the highest exponent prime factors to calculate the LCM of 5338 and 5346.

LCM(5338,5346) = 21×35×111×171×1571
LCM(5338,5346) = 14268474

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 5346

List of positive integer factors of 5346 that divides 5346 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 891, 1782, 2673, 5346

Least Common Multiple of 5338 and 5346 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 5346, than apply into the LCM equation.

GCF(5338,5346) = 2
LCM(5338,5346) = ( 5338 × 5346) / 2
LCM(5338,5346) = 28536948 / 2
LCM(5338,5346) = 14268474

Properties of LCM 5338 and 5346

(i) The LCM of 5346 and 5338 is associative

LCM of 5338 and 5346 = LCM of 5346 and 5338

Related Least Common Multiples of 5338

Related Least Common Multiples of 5346

Frequently Asked Questions on LCM of 5338 and 5346

1. What is the LCM of 5338 and 5346?

Answer: LCM of 5338 and 5346 is 14268474.

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 5346?

Answer: Factors of 5346 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 891, 1782, 2673, 5346. There are 24 integers that are factors of 5346. The greatest factor of 5346 is 5346.

4. How to Find the LCM of 5338 and 5346?

Answer:

Least Common Multiple of 5338 and 5346 = 14268474

Step 1: Find the prime factorization of 5338

5338 = 2 x 17 x 157

Step 2: Find the prime factorization of 5346

5346 = 2 x 3 x 3 x 3 x 3 x 3 x 11

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

LCM = 14268474 = 2 x 3 x 3 x 3 x 3 x 3 x 11 x 17 x 157

Step 4: Therefore, the least common multiple of 5338 and 5346 is 14268474.