Least Common Multiple of 13364 and 13372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13364 and 13372 the smallest integer that is 44675852 that is divisible by both numbers.

Least Common Multiple (LCM) of 13364 and 13372 is 44675852.

LCM(13364,13372) = 44675852

LCM of 13364 and 13372

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

LCM of:
and

Least Common Multiple of 13364 and 13372

LCM of 13364 and 13372 is 44675852

Least common multiple can be found by multiplying the highest exponent prime factors of 13364 and 13372. First we will calculate the prime factors of 13364 and 13372.

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

Prime Factorization of 13372


2 13372
2 6686
3343 3343
1

Prime factors of 13372 are 2,3343. Prime factorization of 13372 in exponential form is:

13372 = 22×33431

Now multiplying the highest exponent prime factors to calculate the LCM of 13364 and 13372.

LCM(13364,13372) = 22×131×2571×33431
LCM(13364,13372) = 44675852

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

Factors of 13372

List of positive integer factors of 13372 that divides 13372 without a remainder.

1, 2, 4, 3343, 6686, 13372

Least Common Multiple of 13364 and 13372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13364 and 13372, than apply into the LCM equation.

GCF(13364,13372) = 4
LCM(13364,13372) = ( 13364 × 13372) / 4
LCM(13364,13372) = 178703408 / 4
LCM(13364,13372) = 44675852

Properties of LCM 13364 and 13372

(i) The LCM of 13372 and 13364 is associative

LCM of 13364 and 13372 = LCM of 13372 and 13364

Related Least Common Multiples of 13364

Related Least Common Multiples of 13372

Frequently Asked Questions on LCM of 13364 and 13372

1. What is the LCM of 13364 and 13372?

Answer: LCM of 13364 and 13372 is 44675852.

2. 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.

3. What are the Factors of 13372?

Answer: Factors of 13372 are 1, 2, 4, 3343, 6686, 13372. There are 6 integers that are factors of 13372. The greatest factor of 13372 is 13372.

4. How to Find the LCM of 13364 and 13372?

Answer:

Least Common Multiple of 13364 and 13372 = 44675852

Step 1: Find the prime factorization of 13364

13364 = 2 x 2 x 13 x 257

Step 2: Find the prime factorization of 13372

13372 = 2 x 2 x 3343

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

LCM = 44675852 = 2 x 2 x 13 x 257 x 3343

Step 4: Therefore, the least common multiple of 13364 and 13372 is 44675852.