Least Common Multiple of 8338 and 8344

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 8344 the smallest integer that is 34786136 that is divisible by both numbers.

Least Common Multiple (LCM) of 8338 and 8344 is 34786136.

LCM(8338,8344) = 34786136

LCM of 8338 and 8344

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

LCM of:
and

Least Common Multiple of 8338 and 8344

LCM of 8338 and 8344 is 34786136

Least common multiple can be found by multiplying the highest exponent prime factors of 8338 and 8344. First we will calculate the prime factors of 8338 and 8344.

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 8344


2 8344
2 4172
2 2086
7 1043
149 149
1

Prime factors of 8344 are 2, 7,149. Prime factorization of 8344 in exponential form is:

8344 = 23×71×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 8338 and 8344.

LCM(8338,8344) = 23×71×111×1491×3791
LCM(8338,8344) = 34786136

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 8344

List of positive integer factors of 8344 that divides 8344 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344

Least Common Multiple of 8338 and 8344 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 8344, than apply into the LCM equation.

GCF(8338,8344) = 2
LCM(8338,8344) = ( 8338 × 8344) / 2
LCM(8338,8344) = 69572272 / 2
LCM(8338,8344) = 34786136

Properties of LCM 8338 and 8344

(i) The LCM of 8344 and 8338 is associative

LCM of 8338 and 8344 = LCM of 8344 and 8338

Related Least Common Multiples of 8338

Related Least Common Multiples of 8344

Frequently Asked Questions on LCM of 8338 and 8344

1. What is the LCM of 8338 and 8344?

Answer: LCM of 8338 and 8344 is 34786136.

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 8344?

Answer: Factors of 8344 are 1, 2, 4, 7, 8, 14, 28, 56, 149, 298, 596, 1043, 1192, 2086, 4172, 8344. There are 16 integers that are factors of 8344. The greatest factor of 8344 is 8344.

4. How to Find the LCM of 8338 and 8344?

Answer:

Least Common Multiple of 8338 and 8344 = 34786136

Step 1: Find the prime factorization of 8338

8338 = 2 x 11 x 379

Step 2: Find the prime factorization of 8344

8344 = 2 x 2 x 2 x 7 x 149

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

LCM = 34786136 = 2 x 2 x 2 x 7 x 11 x 149 x 379

Step 4: Therefore, the least common multiple of 8338 and 8344 is 34786136.