Least Common Multiple of 13226 and 13231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13226 and 13231 the smallest integer that is 174993206 that is divisible by both numbers.

Least Common Multiple (LCM) of 13226 and 13231 is 174993206.

LCM(13226,13231) = 174993206

LCM of 13226 and 13231

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

LCM of:
and

Least Common Multiple of 13226 and 13231

LCM of 13226 and 13231 is 174993206

Least common multiple can be found by multiplying the highest exponent prime factors of 13226 and 13231. First we will calculate the prime factors of 13226 and 13231.

Prime Factorization of 13226


2 13226
17 6613
389 389
1

Prime factors of 13226 are 2, 17,389. Prime factorization of 13226 in exponential form is:

13226 = 21×171×3891

Prime Factorization of 13231


101 13231
131 131
1

Prime factors of 13231 are 101,131. Prime factorization of 13231 in exponential form is:

13231 = 1011×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 13226 and 13231.

LCM(13226,13231) = 21×171×1011×1311×3891
LCM(13226,13231) = 174993206

Factors of 13226

List of positive integer factors of 13226 that divides 13226 without a remainder.

1, 2, 17, 34, 389, 778, 6613, 13226

Factors of 13231

List of positive integer factors of 13231 that divides 13231 without a remainder.

1, 101, 131, 13231

Least Common Multiple of 13226 and 13231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13226 and 13231, than apply into the LCM equation.

GCF(13226,13231) = 1
LCM(13226,13231) = ( 13226 × 13231) / 1
LCM(13226,13231) = 174993206 / 1
LCM(13226,13231) = 174993206

Properties of LCM 13226 and 13231

(i) The LCM of 13231 and 13226 is associative

LCM of 13226 and 13231 = LCM of 13231 and 13226

Related Least Common Multiples of 13226

Related Least Common Multiples of 13231

Frequently Asked Questions on LCM of 13226 and 13231

1. What is the LCM of 13226 and 13231?

Answer: LCM of 13226 and 13231 is 174993206.

2. What are the Factors of 13226?

Answer: Factors of 13226 are 1, 2, 17, 34, 389, 778, 6613, 13226. There are 8 integers that are factors of 13226. The greatest factor of 13226 is 13226.

3. What are the Factors of 13231?

Answer: Factors of 13231 are 1, 101, 131, 13231. There are 4 integers that are factors of 13231. The greatest factor of 13231 is 13231.

4. How to Find the LCM of 13226 and 13231?

Answer:

Least Common Multiple of 13226 and 13231 = 174993206

Step 1: Find the prime factorization of 13226

13226 = 2 x 17 x 389

Step 2: Find the prime factorization of 13231

13231 = 101 x 131

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

LCM = 174993206 = 2 x 17 x 101 x 131 x 389

Step 4: Therefore, the least common multiple of 13226 and 13231 is 174993206.