Least Common Multiple of 8336 and 8338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8336 and 8338 the smallest integer that is 34752784 that is divisible by both numbers.

Least Common Multiple (LCM) of 8336 and 8338 is 34752784.

LCM(8336,8338) = 34752784

LCM of 8336 and 8338

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

LCM of:
and

Least Common Multiple of 8336 and 8338

LCM of 8336 and 8338 is 34752784

Least common multiple can be found by multiplying the highest exponent prime factors of 8336 and 8338. First we will calculate the prime factors of 8336 and 8338.

Prime Factorization of 8336


2 8336
2 4168
2 2084
2 1042
521 521
1

Prime factors of 8336 are 2,521. Prime factorization of 8336 in exponential form is:

8336 = 24×5211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8336 and 8338.

LCM(8336,8338) = 24×111×3791×5211
LCM(8336,8338) = 34752784

Factors of 8336

List of positive integer factors of 8336 that divides 8336 without a remainder.

1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336

Factors of 8338

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

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

Least Common Multiple of 8336 and 8338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8336 and 8338, than apply into the LCM equation.

GCF(8336,8338) = 2
LCM(8336,8338) = ( 8336 × 8338) / 2
LCM(8336,8338) = 69505568 / 2
LCM(8336,8338) = 34752784

Properties of LCM 8336 and 8338

(i) The LCM of 8338 and 8336 is associative

LCM of 8336 and 8338 = LCM of 8338 and 8336

Related Least Common Multiples of 8336

Related Least Common Multiples of 8338

Frequently Asked Questions on LCM of 8336 and 8338

1. What is the LCM of 8336 and 8338?

Answer: LCM of 8336 and 8338 is 34752784.

2. What are the Factors of 8336?

Answer: Factors of 8336 are 1, 2, 4, 8, 16, 521, 1042, 2084, 4168, 8336. There are 10 integers that are factors of 8336. The greatest factor of 8336 is 8336.

3. 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.

4. How to Find the LCM of 8336 and 8338?

Answer:

Least Common Multiple of 8336 and 8338 = 34752784

Step 1: Find the prime factorization of 8336

8336 = 2 x 2 x 2 x 2 x 521

Step 2: Find the prime factorization of 8338

8338 = 2 x 11 x 379

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

LCM = 34752784 = 2 x 2 x 2 x 2 x 11 x 379 x 521

Step 4: Therefore, the least common multiple of 8336 and 8338 is 34752784.