Least Common Multiple of 13352 and 13357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13352 and 13357 the smallest integer that is 178342664 that is divisible by both numbers.

Least Common Multiple (LCM) of 13352 and 13357 is 178342664.

LCM(13352,13357) = 178342664

LCM of 13352 and 13357

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

LCM of:
and

Least Common Multiple of 13352 and 13357

LCM of 13352 and 13357 is 178342664

Least common multiple can be found by multiplying the highest exponent prime factors of 13352 and 13357. First we will calculate the prime factors of 13352 and 13357.

Prime Factorization of 13352


2 13352
2 6676
2 3338
1669 1669
1

Prime factors of 13352 are 2,1669. Prime factorization of 13352 in exponential form is:

13352 = 23×16691

Prime Factorization of 13357


19 13357
19 703
37 37
1

Prime factors of 13357 are 19,37. Prime factorization of 13357 in exponential form is:

13357 = 192×371

Now multiplying the highest exponent prime factors to calculate the LCM of 13352 and 13357.

LCM(13352,13357) = 23×192×371×16691
LCM(13352,13357) = 178342664

Factors of 13352

List of positive integer factors of 13352 that divides 13352 without a remainder.

1, 2, 4, 8, 1669, 3338, 6676, 13352

Factors of 13357

List of positive integer factors of 13357 that divides 13357 without a remainder.

1, 19, 37, 361, 703, 13357

Least Common Multiple of 13352 and 13357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13352 and 13357, than apply into the LCM equation.

GCF(13352,13357) = 1
LCM(13352,13357) = ( 13352 × 13357) / 1
LCM(13352,13357) = 178342664 / 1
LCM(13352,13357) = 178342664

Properties of LCM 13352 and 13357

(i) The LCM of 13357 and 13352 is associative

LCM of 13352 and 13357 = LCM of 13357 and 13352

Related Least Common Multiples of 13352

Related Least Common Multiples of 13357

Frequently Asked Questions on LCM of 13352 and 13357

1. What is the LCM of 13352 and 13357?

Answer: LCM of 13352 and 13357 is 178342664.

2. What are the Factors of 13352?

Answer: Factors of 13352 are 1, 2, 4, 8, 1669, 3338, 6676, 13352. There are 8 integers that are factors of 13352. The greatest factor of 13352 is 13352.

3. What are the Factors of 13357?

Answer: Factors of 13357 are 1, 19, 37, 361, 703, 13357. There are 6 integers that are factors of 13357. The greatest factor of 13357 is 13357.

4. How to Find the LCM of 13352 and 13357?

Answer:

Least Common Multiple of 13352 and 13357 = 178342664

Step 1: Find the prime factorization of 13352

13352 = 2 x 2 x 2 x 1669

Step 2: Find the prime factorization of 13357

13357 = 19 x 19 x 37

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

LCM = 178342664 = 2 x 2 x 2 x 19 x 19 x 37 x 1669

Step 4: Therefore, the least common multiple of 13352 and 13357 is 178342664.