Least Common Multiple of 13225 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 13225 and 13231 the smallest integer that is 174979975 that is divisible by both numbers.

Least Common Multiple (LCM) of 13225 and 13231 is 174979975.

LCM(13225,13231) = 174979975

LCM of 13225 and 13231

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

LCM of:
and

Least Common Multiple of 13225 and 13231

LCM of 13225 and 13231 is 174979975

Least common multiple can be found by multiplying the highest exponent prime factors of 13225 and 13231. First we will calculate the prime factors of 13225 and 13231.

Prime Factorization of 13225


5 13225
5 2645
23 529
23 23
1

Prime factors of 13225 are 5,23. Prime factorization of 13225 in exponential form is:

13225 = 52×232

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 13225 and 13231.

LCM(13225,13231) = 52×232×1011×1311
LCM(13225,13231) = 174979975

Factors of 13225

List of positive integer factors of 13225 that divides 13225 without a remainder.

1, 5, 23, 25, 115, 529, 575, 2645, 13225

Factors of 13231

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

1, 101, 131, 13231

Least Common Multiple of 13225 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 13225 and 13231, than apply into the LCM equation.

GCF(13225,13231) = 1
LCM(13225,13231) = ( 13225 × 13231) / 1
LCM(13225,13231) = 174979975 / 1
LCM(13225,13231) = 174979975

Properties of LCM 13225 and 13231

(i) The LCM of 13231 and 13225 is associative

LCM of 13225 and 13231 = LCM of 13231 and 13225

Related Least Common Multiples of 13225

Related Least Common Multiples of 13231

Frequently Asked Questions on LCM of 13225 and 13231

1. What is the LCM of 13225 and 13231?

Answer: LCM of 13225 and 13231 is 174979975.

2. What are the Factors of 13225?

Answer: Factors of 13225 are 1, 5, 23, 25, 115, 529, 575, 2645, 13225. There are 9 integers that are factors of 13225. The greatest factor of 13225 is 13225.

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 13225 and 13231?

Answer:

Least Common Multiple of 13225 and 13231 = 174979975

Step 1: Find the prime factorization of 13225

13225 = 5 x 5 x 23 x 23

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 = 174979975 = 5 x 5 x 23 x 23 x 101 x 131

Step 4: Therefore, the least common multiple of 13225 and 13231 is 174979975.