Least Common Multiple of 13225 and 13232

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 13232 the smallest integer that is 174993200 that is divisible by both numbers.

Least Common Multiple (LCM) of 13225 and 13232 is 174993200.

LCM(13225,13232) = 174993200

LCM of 13225 and 13232

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

LCM of:
and

Least Common Multiple of 13225 and 13232

LCM of 13225 and 13232 is 174993200

Least common multiple can be found by multiplying the highest exponent prime factors of 13225 and 13232. First we will calculate the prime factors of 13225 and 13232.

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 13232


2 13232
2 6616
2 3308
2 1654
827 827
1

Prime factors of 13232 are 2,827. Prime factorization of 13232 in exponential form is:

13232 = 24×8271

Now multiplying the highest exponent prime factors to calculate the LCM of 13225 and 13232.

LCM(13225,13232) = 24×52×232×8271
LCM(13225,13232) = 174993200

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 13232

List of positive integer factors of 13232 that divides 13232 without a remainder.

1, 2, 4, 8, 16, 827, 1654, 3308, 6616, 13232

Least Common Multiple of 13225 and 13232 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 13232, than apply into the LCM equation.

GCF(13225,13232) = 1
LCM(13225,13232) = ( 13225 × 13232) / 1
LCM(13225,13232) = 174993200 / 1
LCM(13225,13232) = 174993200

Properties of LCM 13225 and 13232

(i) The LCM of 13232 and 13225 is associative

LCM of 13225 and 13232 = LCM of 13232 and 13225

Related Least Common Multiples of 13225

Related Least Common Multiples of 13232

Frequently Asked Questions on LCM of 13225 and 13232

1. What is the LCM of 13225 and 13232?

Answer: LCM of 13225 and 13232 is 174993200.

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 13232?

Answer: Factors of 13232 are 1, 2, 4, 8, 16, 827, 1654, 3308, 6616, 13232. There are 10 integers that are factors of 13232. The greatest factor of 13232 is 13232.

4. How to Find the LCM of 13225 and 13232?

Answer:

Least Common Multiple of 13225 and 13232 = 174993200

Step 1: Find the prime factorization of 13225

13225 = 5 x 5 x 23 x 23

Step 2: Find the prime factorization of 13232

13232 = 2 x 2 x 2 x 2 x 827

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

LCM = 174993200 = 2 x 2 x 2 x 2 x 5 x 5 x 23 x 23 x 827

Step 4: Therefore, the least common multiple of 13225 and 13232 is 174993200.