Least Common Multiple of 13388 and 13396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13388 and 13396 the smallest integer that is 44836412 that is divisible by both numbers.

Least Common Multiple (LCM) of 13388 and 13396 is 44836412.

LCM(13388,13396) = 44836412

LCM of 13388 and 13396

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

LCM of:
and

Least Common Multiple of 13388 and 13396

LCM of 13388 and 13396 is 44836412

Least common multiple can be found by multiplying the highest exponent prime factors of 13388 and 13396. First we will calculate the prime factors of 13388 and 13396.

Prime Factorization of 13388


2 13388
2 6694
3347 3347
1

Prime factors of 13388 are 2,3347. Prime factorization of 13388 in exponential form is:

13388 = 22×33471

Prime Factorization of 13396


2 13396
2 6698
17 3349
197 197
1

Prime factors of 13396 are 2, 17,197. Prime factorization of 13396 in exponential form is:

13396 = 22×171×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 13388 and 13396.

LCM(13388,13396) = 22×171×1971×33471
LCM(13388,13396) = 44836412

Factors of 13388

List of positive integer factors of 13388 that divides 13388 without a remainder.

1, 2, 4, 3347, 6694, 13388

Factors of 13396

List of positive integer factors of 13396 that divides 13396 without a remainder.

1, 2, 4, 17, 34, 68, 197, 394, 788, 3349, 6698, 13396

Least Common Multiple of 13388 and 13396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13388 and 13396, than apply into the LCM equation.

GCF(13388,13396) = 4
LCM(13388,13396) = ( 13388 × 13396) / 4
LCM(13388,13396) = 179345648 / 4
LCM(13388,13396) = 44836412

Properties of LCM 13388 and 13396

(i) The LCM of 13396 and 13388 is associative

LCM of 13388 and 13396 = LCM of 13396 and 13388

Related Least Common Multiples of 13388

Related Least Common Multiples of 13396

Frequently Asked Questions on LCM of 13388 and 13396

1. What is the LCM of 13388 and 13396?

Answer: LCM of 13388 and 13396 is 44836412.

2. What are the Factors of 13388?

Answer: Factors of 13388 are 1, 2, 4, 3347, 6694, 13388. There are 6 integers that are factors of 13388. The greatest factor of 13388 is 13388.

3. What are the Factors of 13396?

Answer: Factors of 13396 are 1, 2, 4, 17, 34, 68, 197, 394, 788, 3349, 6698, 13396. There are 12 integers that are factors of 13396. The greatest factor of 13396 is 13396.

4. How to Find the LCM of 13388 and 13396?

Answer:

Least Common Multiple of 13388 and 13396 = 44836412

Step 1: Find the prime factorization of 13388

13388 = 2 x 2 x 3347

Step 2: Find the prime factorization of 13396

13396 = 2 x 2 x 17 x 197

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

LCM = 44836412 = 2 x 2 x 17 x 197 x 3347

Step 4: Therefore, the least common multiple of 13388 and 13396 is 44836412.