Least Common Multiple of 13217 and 13224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13217 and 13224 the smallest integer that is 174781608 that is divisible by both numbers.

Least Common Multiple (LCM) of 13217 and 13224 is 174781608.

LCM(13217,13224) = 174781608

LCM of 13217 and 13224

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

LCM of:
and

Least Common Multiple of 13217 and 13224

LCM of 13217 and 13224 is 174781608

Least common multiple can be found by multiplying the highest exponent prime factors of 13217 and 13224. First we will calculate the prime factors of 13217 and 13224.

Prime Factorization of 13217


13217 13217
1

Prime factors of 13217 are 13217. Prime factorization of 13217 in exponential form is:

13217 = 132171

Prime Factorization of 13224


2 13224
2 6612
2 3306
3 1653
19 551
29 29
1

Prime factors of 13224 are 2, 3, 19,29. Prime factorization of 13224 in exponential form is:

13224 = 23×31×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 13217 and 13224.

LCM(13217,13224) = 23×31×191×291×132171
LCM(13217,13224) = 174781608

Factors of 13217

List of positive integer factors of 13217 that divides 13217 without a remainder.

1, 13217

Factors of 13224

List of positive integer factors of 13224 that divides 13224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 29, 38, 57, 58, 76, 87, 114, 116, 152, 174, 228, 232, 348, 456, 551, 696, 1102, 1653, 2204, 3306, 4408, 6612, 13224

Least Common Multiple of 13217 and 13224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13217 and 13224, than apply into the LCM equation.

GCF(13217,13224) = 1
LCM(13217,13224) = ( 13217 × 13224) / 1
LCM(13217,13224) = 174781608 / 1
LCM(13217,13224) = 174781608

Properties of LCM 13217 and 13224

(i) The LCM of 13224 and 13217 is associative

LCM of 13217 and 13224 = LCM of 13224 and 13217

Related Least Common Multiples of 13217

Related Least Common Multiples of 13224

Frequently Asked Questions on LCM of 13217 and 13224

1. What is the LCM of 13217 and 13224?

Answer: LCM of 13217 and 13224 is 174781608.

2. What are the Factors of 13217?

Answer: Factors of 13217 are 1, 13217. There are 2 integers that are factors of 13217. The greatest factor of 13217 is 13217.

3. What are the Factors of 13224?

Answer: Factors of 13224 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 29, 38, 57, 58, 76, 87, 114, 116, 152, 174, 228, 232, 348, 456, 551, 696, 1102, 1653, 2204, 3306, 4408, 6612, 13224. There are 32 integers that are factors of 13224. The greatest factor of 13224 is 13224.

4. How to Find the LCM of 13217 and 13224?

Answer:

Least Common Multiple of 13217 and 13224 = 174781608

Step 1: Find the prime factorization of 13217

13217 = 13217

Step 2: Find the prime factorization of 13224

13224 = 2 x 2 x 2 x 3 x 19 x 29

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

LCM = 174781608 = 2 x 2 x 2 x 3 x 19 x 29 x 13217

Step 4: Therefore, the least common multiple of 13217 and 13224 is 174781608.