Least Common Multiple of 13384 and 13388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13384 and 13388 the smallest integer that is 44796248 that is divisible by both numbers.

Least Common Multiple (LCM) of 13384 and 13388 is 44796248.

LCM(13384,13388) = 44796248

LCM of 13384 and 13388

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

LCM of:
and

Least Common Multiple of 13384 and 13388

LCM of 13384 and 13388 is 44796248

Least common multiple can be found by multiplying the highest exponent prime factors of 13384 and 13388. First we will calculate the prime factors of 13384 and 13388.

Prime Factorization of 13384


2 13384
2 6692
2 3346
7 1673
239 239
1

Prime factors of 13384 are 2, 7,239. Prime factorization of 13384 in exponential form is:

13384 = 23×71×2391

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

Now multiplying the highest exponent prime factors to calculate the LCM of 13384 and 13388.

LCM(13384,13388) = 23×71×2391×33471
LCM(13384,13388) = 44796248

Factors of 13384

List of positive integer factors of 13384 that divides 13384 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 239, 478, 956, 1673, 1912, 3346, 6692, 13384

Factors of 13388

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

1, 2, 4, 3347, 6694, 13388

Least Common Multiple of 13384 and 13388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13384 and 13388, than apply into the LCM equation.

GCF(13384,13388) = 4
LCM(13384,13388) = ( 13384 × 13388) / 4
LCM(13384,13388) = 179184992 / 4
LCM(13384,13388) = 44796248

Properties of LCM 13384 and 13388

(i) The LCM of 13388 and 13384 is associative

LCM of 13384 and 13388 = LCM of 13388 and 13384

Related Least Common Multiples of 13384

Related Least Common Multiples of 13388

Frequently Asked Questions on LCM of 13384 and 13388

1. What is the LCM of 13384 and 13388?

Answer: LCM of 13384 and 13388 is 44796248.

2. What are the Factors of 13384?

Answer: Factors of 13384 are 1, 2, 4, 7, 8, 14, 28, 56, 239, 478, 956, 1673, 1912, 3346, 6692, 13384. There are 16 integers that are factors of 13384. The greatest factor of 13384 is 13384.

3. 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.

4. How to Find the LCM of 13384 and 13388?

Answer:

Least Common Multiple of 13384 and 13388 = 44796248

Step 1: Find the prime factorization of 13384

13384 = 2 x 2 x 2 x 7 x 239

Step 2: Find the prime factorization of 13388

13388 = 2 x 2 x 3347

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

LCM = 44796248 = 2 x 2 x 2 x 7 x 239 x 3347

Step 4: Therefore, the least common multiple of 13384 and 13388 is 44796248.