Least Common Multiple of 13352 and 13359

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 13359 the smallest integer that is 178369368 that is divisible by both numbers.

Least Common Multiple (LCM) of 13352 and 13359 is 178369368.

LCM(13352,13359) = 178369368

LCM of 13352 and 13359

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

LCM of:
and

Least Common Multiple of 13352 and 13359

LCM of 13352 and 13359 is 178369368

Least common multiple can be found by multiplying the highest exponent prime factors of 13352 and 13359. First we will calculate the prime factors of 13352 and 13359.

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 13359


3 13359
61 4453
73 73
1

Prime factors of 13359 are 3, 61,73. Prime factorization of 13359 in exponential form is:

13359 = 31×611×731

Now multiplying the highest exponent prime factors to calculate the LCM of 13352 and 13359.

LCM(13352,13359) = 23×31×611×731×16691
LCM(13352,13359) = 178369368

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 13359

List of positive integer factors of 13359 that divides 13359 without a remainder.

1, 3, 61, 73, 183, 219, 4453, 13359

Least Common Multiple of 13352 and 13359 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 13359, than apply into the LCM equation.

GCF(13352,13359) = 1
LCM(13352,13359) = ( 13352 × 13359) / 1
LCM(13352,13359) = 178369368 / 1
LCM(13352,13359) = 178369368

Properties of LCM 13352 and 13359

(i) The LCM of 13359 and 13352 is associative

LCM of 13352 and 13359 = LCM of 13359 and 13352

Related Least Common Multiples of 13352

Related Least Common Multiples of 13359

Frequently Asked Questions on LCM of 13352 and 13359

1. What is the LCM of 13352 and 13359?

Answer: LCM of 13352 and 13359 is 178369368.

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 13359?

Answer: Factors of 13359 are 1, 3, 61, 73, 183, 219, 4453, 13359. There are 8 integers that are factors of 13359. The greatest factor of 13359 is 13359.

4. How to Find the LCM of 13352 and 13359?

Answer:

Least Common Multiple of 13352 and 13359 = 178369368

Step 1: Find the prime factorization of 13352

13352 = 2 x 2 x 2 x 1669

Step 2: Find the prime factorization of 13359

13359 = 3 x 61 x 73

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

LCM = 178369368 = 2 x 2 x 2 x 3 x 61 x 73 x 1669

Step 4: Therefore, the least common multiple of 13352 and 13359 is 178369368.