Least Common Multiple of 8338 and 8342

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 8342 the smallest integer that is 34777798 that is divisible by both numbers.

Least Common Multiple (LCM) of 8338 and 8342 is 34777798.

LCM(8338,8342) = 34777798

LCM of 8338 and 8342

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

LCM of:
and

Least Common Multiple of 8338 and 8342

LCM of 8338 and 8342 is 34777798

Least common multiple can be found by multiplying the highest exponent prime factors of 8338 and 8342. First we will calculate the prime factors of 8338 and 8342.

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 8342


2 8342
43 4171
97 97
1

Prime factors of 8342 are 2, 43,97. Prime factorization of 8342 in exponential form is:

8342 = 21×431×971

Now multiplying the highest exponent prime factors to calculate the LCM of 8338 and 8342.

LCM(8338,8342) = 21×111×431×971×3791
LCM(8338,8342) = 34777798

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 8342

List of positive integer factors of 8342 that divides 8342 without a remainder.

1, 2, 43, 86, 97, 194, 4171, 8342

Least Common Multiple of 8338 and 8342 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 8342, than apply into the LCM equation.

GCF(8338,8342) = 2
LCM(8338,8342) = ( 8338 × 8342) / 2
LCM(8338,8342) = 69555596 / 2
LCM(8338,8342) = 34777798

Properties of LCM 8338 and 8342

(i) The LCM of 8342 and 8338 is associative

LCM of 8338 and 8342 = LCM of 8342 and 8338

Related Least Common Multiples of 8338

Related Least Common Multiples of 8342

Frequently Asked Questions on LCM of 8338 and 8342

1. What is the LCM of 8338 and 8342?

Answer: LCM of 8338 and 8342 is 34777798.

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 8342?

Answer: Factors of 8342 are 1, 2, 43, 86, 97, 194, 4171, 8342. There are 8 integers that are factors of 8342. The greatest factor of 8342 is 8342.

4. How to Find the LCM of 8338 and 8342?

Answer:

Least Common Multiple of 8338 and 8342 = 34777798

Step 1: Find the prime factorization of 8338

8338 = 2 x 11 x 379

Step 2: Find the prime factorization of 8342

8342 = 2 x 43 x 97

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

LCM = 34777798 = 2 x 11 x 43 x 97 x 379

Step 4: Therefore, the least common multiple of 8338 and 8342 is 34777798.