Least Common Multiple of 13221 and 13229

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 13229 the smallest integer that is 174900609 that is divisible by both numbers.

Least Common Multiple (LCM) of 13221 and 13229 is 174900609.

LCM(13221,13229) = 174900609

LCM of 13221 and 13229

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

LCM of:
and

Least Common Multiple of 13221 and 13229

LCM of 13221 and 13229 is 174900609

Least common multiple can be found by multiplying the highest exponent prime factors of 13221 and 13229. First we will calculate the prime factors of 13221 and 13229.

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 13229


13229 13229
1

Prime factors of 13229 are 13229. Prime factorization of 13229 in exponential form is:

13229 = 132291

Now multiplying the highest exponent prime factors to calculate the LCM of 13221 and 13229.

LCM(13221,13229) = 32×131×1131×132291
LCM(13221,13229) = 174900609

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 13229

List of positive integer factors of 13229 that divides 13229 without a remainder.

1, 13229

Least Common Multiple of 13221 and 13229 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 13229, than apply into the LCM equation.

GCF(13221,13229) = 1
LCM(13221,13229) = ( 13221 × 13229) / 1
LCM(13221,13229) = 174900609 / 1
LCM(13221,13229) = 174900609

Properties of LCM 13221 and 13229

(i) The LCM of 13229 and 13221 is associative

LCM of 13221 and 13229 = LCM of 13229 and 13221

Related Least Common Multiples of 13221

Related Least Common Multiples of 13229

Frequently Asked Questions on LCM of 13221 and 13229

1. What is the LCM of 13221 and 13229?

Answer: LCM of 13221 and 13229 is 174900609.

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 13229?

Answer: Factors of 13229 are 1, 13229. There are 2 integers that are factors of 13229. The greatest factor of 13229 is 13229.

4. How to Find the LCM of 13221 and 13229?

Answer:

Least Common Multiple of 13221 and 13229 = 174900609

Step 1: Find the prime factorization of 13221

13221 = 3 x 3 x 13 x 113

Step 2: Find the prime factorization of 13229

13229 = 13229

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

LCM = 174900609 = 3 x 3 x 13 x 113 x 13229

Step 4: Therefore, the least common multiple of 13221 and 13229 is 174900609.