Least Common Multiple of 8334 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 8334 and 8338 the smallest integer that is 34744446 that is divisible by both numbers.

Least Common Multiple (LCM) of 8334 and 8338 is 34744446.

LCM(8334,8338) = 34744446

LCM of 8334 and 8338

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

LCM of:
and

Least Common Multiple of 8334 and 8338

LCM of 8334 and 8338 is 34744446

Least common multiple can be found by multiplying the highest exponent prime factors of 8334 and 8338. First we will calculate the prime factors of 8334 and 8338.

Prime Factorization of 8334


2 8334
3 4167
3 1389
463 463
1

Prime factors of 8334 are 2, 3,463. Prime factorization of 8334 in exponential form is:

8334 = 21×32×4631

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 8334 and 8338.

LCM(8334,8338) = 21×32×111×3791×4631
LCM(8334,8338) = 34744446

Factors of 8334

List of positive integer factors of 8334 that divides 8334 without a remainder.

1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334

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 8334 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 8334 and 8338, than apply into the LCM equation.

GCF(8334,8338) = 2
LCM(8334,8338) = ( 8334 × 8338) / 2
LCM(8334,8338) = 69488892 / 2
LCM(8334,8338) = 34744446

Properties of LCM 8334 and 8338

(i) The LCM of 8338 and 8334 is associative

LCM of 8334 and 8338 = LCM of 8338 and 8334

Related Least Common Multiples of 8334

Related Least Common Multiples of 8338

Frequently Asked Questions on LCM of 8334 and 8338

1. What is the LCM of 8334 and 8338?

Answer: LCM of 8334 and 8338 is 34744446.

2. What are the Factors of 8334?

Answer: Factors of 8334 are 1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334. There are 12 integers that are factors of 8334. The greatest factor of 8334 is 8334.

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 8334 and 8338?

Answer:

Least Common Multiple of 8334 and 8338 = 34744446

Step 1: Find the prime factorization of 8334

8334 = 2 x 3 x 3 x 463

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 = 34744446 = 2 x 3 x 3 x 11 x 379 x 463

Step 4: Therefore, the least common multiple of 8334 and 8338 is 34744446.