Least Common Multiple of 8338 and 8343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8338 and 8343 the smallest integer that is 69563934 that is divisible by both numbers.

Least Common Multiple (LCM) of 8338 and 8343 is 69563934.

LCM(8338,8343) = 69563934

LCM of 8338 and 8343

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

LCM of:
and

Least Common Multiple of 8338 and 8343

LCM of 8338 and 8343 is 69563934

Least common multiple can be found by multiplying the highest exponent prime factors of 8338 and 8343. First we will calculate the prime factors of 8338 and 8343.

Prime Factorization of 8338


2 8338
11 4169
379 379
1

Prime factors of 8338 are 2, 11,379. Prime factorization of 8338 in exponential form is:

8338 = 21×111×3791

Prime Factorization of 8343


3 8343
3 2781
3 927
3 309
103 103
1

Prime factors of 8343 are 3,103. Prime factorization of 8343 in exponential form is:

8343 = 34×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 8338 and 8343.

LCM(8338,8343) = 21×34×111×1031×3791
LCM(8338,8343) = 69563934

Factors of 8338

List of positive integer factors of 8338 that divides 8338 without a remainder.

1, 2, 11, 22, 379, 758, 4169, 8338

Factors of 8343

List of positive integer factors of 8343 that divides 8343 without a remainder.

1, 3, 9, 27, 81, 103, 309, 927, 2781, 8343

Least Common Multiple of 8338 and 8343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8338 and 8343, than apply into the LCM equation.

GCF(8338,8343) = 1
LCM(8338,8343) = ( 8338 × 8343) / 1
LCM(8338,8343) = 69563934 / 1
LCM(8338,8343) = 69563934

Properties of LCM 8338 and 8343

(i) The LCM of 8343 and 8338 is associative

LCM of 8338 and 8343 = LCM of 8343 and 8338

Related Least Common Multiples of 8338

Related Least Common Multiples of 8343

Frequently Asked Questions on LCM of 8338 and 8343

1. What is the LCM of 8338 and 8343?

Answer: LCM of 8338 and 8343 is 69563934.

2. What are the Factors of 8338?

Answer: Factors of 8338 are 1, 2, 11, 22, 379, 758, 4169, 8338. There are 8 integers that are factors of 8338. The greatest factor of 8338 is 8338.

3. What are the Factors of 8343?

Answer: Factors of 8343 are 1, 3, 9, 27, 81, 103, 309, 927, 2781, 8343. There are 10 integers that are factors of 8343. The greatest factor of 8343 is 8343.

4. How to Find the LCM of 8338 and 8343?

Answer:

Least Common Multiple of 8338 and 8343 = 69563934

Step 1: Find the prime factorization of 8338

8338 = 2 x 11 x 379

Step 2: Find the prime factorization of 8343

8343 = 3 x 3 x 3 x 3 x 103

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

LCM = 69563934 = 2 x 3 x 3 x 3 x 3 x 11 x 103 x 379

Step 4: Therefore, the least common multiple of 8338 and 8343 is 69563934.