Least Common Multiple of 13223 and 13230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13223 and 13230 the smallest integer that is 24991470 that is divisible by both numbers.

Least Common Multiple (LCM) of 13223 and 13230 is 24991470.

LCM(13223,13230) = 24991470

LCM of 13223 and 13230

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

LCM of:
and

Least Common Multiple of 13223 and 13230

LCM of 13223 and 13230 is 24991470

Least common multiple can be found by multiplying the highest exponent prime factors of 13223 and 13230. First we will calculate the prime factors of 13223 and 13230.

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

Prime Factorization of 13230


2 13230
3 6615
3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 13230 are 2, 3, 5,7. Prime factorization of 13230 in exponential form is:

13230 = 21×33×51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 13223 and 13230.

LCM(13223,13230) = 21×33×51×72×18891
LCM(13223,13230) = 24991470

Factors of 13223

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

1, 7, 1889, 13223

Factors of 13230

List of positive integer factors of 13230 that divides 13230 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 49, 54, 63, 70, 90, 98, 105, 126, 135, 147, 189, 210, 245, 270, 294, 315, 378, 441, 490, 630, 735, 882, 945, 1323, 1470, 1890, 2205, 2646, 4410, 6615, 13230

Least Common Multiple of 13223 and 13230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13223 and 13230, than apply into the LCM equation.

GCF(13223,13230) = 7
LCM(13223,13230) = ( 13223 × 13230) / 7
LCM(13223,13230) = 174940290 / 7
LCM(13223,13230) = 24991470

Properties of LCM 13223 and 13230

(i) The LCM of 13230 and 13223 is associative

LCM of 13223 and 13230 = LCM of 13230 and 13223

Related Least Common Multiples of 13223

Related Least Common Multiples of 13230

Frequently Asked Questions on LCM of 13223 and 13230

1. What is the LCM of 13223 and 13230?

Answer: LCM of 13223 and 13230 is 24991470.

2. 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.

3. What are the Factors of 13230?

Answer: Factors of 13230 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 49, 54, 63, 70, 90, 98, 105, 126, 135, 147, 189, 210, 245, 270, 294, 315, 378, 441, 490, 630, 735, 882, 945, 1323, 1470, 1890, 2205, 2646, 4410, 6615, 13230. There are 48 integers that are factors of 13230. The greatest factor of 13230 is 13230.

4. How to Find the LCM of 13223 and 13230?

Answer:

Least Common Multiple of 13223 and 13230 = 24991470

Step 1: Find the prime factorization of 13223

13223 = 7 x 1889

Step 2: Find the prime factorization of 13230

13230 = 2 x 3 x 3 x 3 x 5 x 7 x 7

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

LCM = 24991470 = 2 x 3 x 3 x 3 x 5 x 7 x 7 x 1889

Step 4: Therefore, the least common multiple of 13223 and 13230 is 24991470.