Least Common Multiple of 13217 and 13223

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 13223 the smallest integer that is 174768391 that is divisible by both numbers.

Least Common Multiple (LCM) of 13217 and 13223 is 174768391.

LCM(13217,13223) = 174768391

LCM of 13217 and 13223

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

LCM of:
and

Least Common Multiple of 13217 and 13223

LCM of 13217 and 13223 is 174768391

Least common multiple can be found by multiplying the highest exponent prime factors of 13217 and 13223. First we will calculate the prime factors of 13217 and 13223.

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 13223


7 13223
1889 1889
1

Prime factors of 13223 are 7,1889. Prime factorization of 13223 in exponential form is:

13223 = 71×18891

Now multiplying the highest exponent prime factors to calculate the LCM of 13217 and 13223.

LCM(13217,13223) = 71×18891×132171
LCM(13217,13223) = 174768391

Factors of 13217

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

1, 13217

Factors of 13223

List of positive integer factors of 13223 that divides 13223 without a remainder.

1, 7, 1889, 13223

Least Common Multiple of 13217 and 13223 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 13223, than apply into the LCM equation.

GCF(13217,13223) = 1
LCM(13217,13223) = ( 13217 × 13223) / 1
LCM(13217,13223) = 174768391 / 1
LCM(13217,13223) = 174768391

Properties of LCM 13217 and 13223

(i) The LCM of 13223 and 13217 is associative

LCM of 13217 and 13223 = LCM of 13223 and 13217

Related Least Common Multiples of 13217

Related Least Common Multiples of 13223

Frequently Asked Questions on LCM of 13217 and 13223

1. What is the LCM of 13217 and 13223?

Answer: LCM of 13217 and 13223 is 174768391.

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 13223?

Answer: Factors of 13223 are 1, 7, 1889, 13223. There are 4 integers that are factors of 13223. The greatest factor of 13223 is 13223.

4. How to Find the LCM of 13217 and 13223?

Answer:

Least Common Multiple of 13217 and 13223 = 174768391

Step 1: Find the prime factorization of 13217

13217 = 13217

Step 2: Find the prime factorization of 13223

13223 = 7 x 1889

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

LCM = 174768391 = 7 x 1889 x 13217

Step 4: Therefore, the least common multiple of 13217 and 13223 is 174768391.