Least Common Multiple of 13356 and 13364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13356 and 13364 the smallest integer that is 44622396 that is divisible by both numbers.

Least Common Multiple (LCM) of 13356 and 13364 is 44622396.

LCM(13356,13364) = 44622396

LCM of 13356 and 13364

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

LCM of:
and

Least Common Multiple of 13356 and 13364

LCM of 13356 and 13364 is 44622396

Least common multiple can be found by multiplying the highest exponent prime factors of 13356 and 13364. First we will calculate the prime factors of 13356 and 13364.

Prime Factorization of 13356


2 13356
2 6678
3 3339
3 1113
7 371
53 53
1

Prime factors of 13356 are 2, 3, 7,53. Prime factorization of 13356 in exponential form is:

13356 = 22×32×71×531

Prime Factorization of 13364


2 13364
2 6682
13 3341
257 257
1

Prime factors of 13364 are 2, 13,257. Prime factorization of 13364 in exponential form is:

13364 = 22×131×2571

Now multiplying the highest exponent prime factors to calculate the LCM of 13356 and 13364.

LCM(13356,13364) = 22×32×71×131×531×2571
LCM(13356,13364) = 44622396

Factors of 13356

List of positive integer factors of 13356 that divides 13356 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 53, 63, 84, 106, 126, 159, 212, 252, 318, 371, 477, 636, 742, 954, 1113, 1484, 1908, 2226, 3339, 4452, 6678, 13356

Factors of 13364

List of positive integer factors of 13364 that divides 13364 without a remainder.

1, 2, 4, 13, 26, 52, 257, 514, 1028, 3341, 6682, 13364

Least Common Multiple of 13356 and 13364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13356 and 13364, than apply into the LCM equation.

GCF(13356,13364) = 4
LCM(13356,13364) = ( 13356 × 13364) / 4
LCM(13356,13364) = 178489584 / 4
LCM(13356,13364) = 44622396

Properties of LCM 13356 and 13364

(i) The LCM of 13364 and 13356 is associative

LCM of 13356 and 13364 = LCM of 13364 and 13356

Related Least Common Multiples of 13356

Related Least Common Multiples of 13364

Frequently Asked Questions on LCM of 13356 and 13364

1. What is the LCM of 13356 and 13364?

Answer: LCM of 13356 and 13364 is 44622396.

2. What are the Factors of 13356?

Answer: Factors of 13356 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 53, 63, 84, 106, 126, 159, 212, 252, 318, 371, 477, 636, 742, 954, 1113, 1484, 1908, 2226, 3339, 4452, 6678, 13356. There are 36 integers that are factors of 13356. The greatest factor of 13356 is 13356.

3. What are the Factors of 13364?

Answer: Factors of 13364 are 1, 2, 4, 13, 26, 52, 257, 514, 1028, 3341, 6682, 13364. There are 12 integers that are factors of 13364. The greatest factor of 13364 is 13364.

4. How to Find the LCM of 13356 and 13364?

Answer:

Least Common Multiple of 13356 and 13364 = 44622396

Step 1: Find the prime factorization of 13356

13356 = 2 x 2 x 3 x 3 x 7 x 53

Step 2: Find the prime factorization of 13364

13364 = 2 x 2 x 13 x 257

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

LCM = 44622396 = 2 x 2 x 3 x 3 x 7 x 13 x 53 x 257

Step 4: Therefore, the least common multiple of 13356 and 13364 is 44622396.