Least Common Multiple of 13221 and 13226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13221 and 13226 the smallest integer that is 174860946 that is divisible by both numbers.

Least Common Multiple (LCM) of 13221 and 13226 is 174860946.

LCM(13221,13226) = 174860946

LCM of 13221 and 13226

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

LCM of:
and

Least Common Multiple of 13221 and 13226

LCM of 13221 and 13226 is 174860946

Least common multiple can be found by multiplying the highest exponent prime factors of 13221 and 13226. First we will calculate the prime factors of 13221 and 13226.

Prime Factorization of 13221


3 13221
3 4407
13 1469
113 113
1

Prime factors of 13221 are 3, 13,113. Prime factorization of 13221 in exponential form is:

13221 = 32×131×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 13221 and 13226.

LCM(13221,13226) = 21×32×131×171×1131×3891
LCM(13221,13226) = 174860946

Factors of 13221

List of positive integer factors of 13221 that divides 13221 without a remainder.

1, 3, 9, 13, 39, 113, 117, 339, 1017, 1469, 4407, 13221

Factors of 13226

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

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

Least Common Multiple of 13221 and 13226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13221 and 13226, than apply into the LCM equation.

GCF(13221,13226) = 1
LCM(13221,13226) = ( 13221 × 13226) / 1
LCM(13221,13226) = 174860946 / 1
LCM(13221,13226) = 174860946

Properties of LCM 13221 and 13226

(i) The LCM of 13226 and 13221 is associative

LCM of 13221 and 13226 = LCM of 13226 and 13221

Related Least Common Multiples of 13221

Related Least Common Multiples of 13226

Frequently Asked Questions on LCM of 13221 and 13226

1. What is the LCM of 13221 and 13226?

Answer: LCM of 13221 and 13226 is 174860946.

2. What are the Factors of 13221?

Answer: Factors of 13221 are 1, 3, 9, 13, 39, 113, 117, 339, 1017, 1469, 4407, 13221. There are 12 integers that are factors of 13221. The greatest factor of 13221 is 13221.

3. 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.

4. How to Find the LCM of 13221 and 13226?

Answer:

Least Common Multiple of 13221 and 13226 = 174860946

Step 1: Find the prime factorization of 13221

13221 = 3 x 3 x 13 x 113

Step 2: Find the prime factorization of 13226

13226 = 2 x 17 x 389

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

LCM = 174860946 = 2 x 3 x 3 x 13 x 17 x 113 x 389

Step 4: Therefore, the least common multiple of 13221 and 13226 is 174860946.