Least Common Multiple of 13226 and 13232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 13226 and 13232 the smallest integer that is 87503216 that is divisible by both numbers.

Least Common Multiple (LCM) of 13226 and 13232 is 87503216.

LCM(13226,13232) = 87503216

LCM of 13226 and 13232

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

LCM of:
and

Least Common Multiple of 13226 and 13232

LCM of 13226 and 13232 is 87503216

Least common multiple can be found by multiplying the highest exponent prime factors of 13226 and 13232. First we will calculate the prime factors of 13226 and 13232.

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

Prime Factorization of 13232


2 13232
2 6616
2 3308
2 1654
827 827
1

Prime factors of 13232 are 2,827. Prime factorization of 13232 in exponential form is:

13232 = 24×8271

Now multiplying the highest exponent prime factors to calculate the LCM of 13226 and 13232.

LCM(13226,13232) = 24×171×3891×8271
LCM(13226,13232) = 87503216

Factors of 13226

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

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

Factors of 13232

List of positive integer factors of 13232 that divides 13232 without a remainder.

1, 2, 4, 8, 16, 827, 1654, 3308, 6616, 13232

Least Common Multiple of 13226 and 13232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13226 and 13232, than apply into the LCM equation.

GCF(13226,13232) = 2
LCM(13226,13232) = ( 13226 × 13232) / 2
LCM(13226,13232) = 175006432 / 2
LCM(13226,13232) = 87503216

Properties of LCM 13226 and 13232

(i) The LCM of 13232 and 13226 is associative

LCM of 13226 and 13232 = LCM of 13232 and 13226

Related Least Common Multiples of 13226

Related Least Common Multiples of 13232

Frequently Asked Questions on LCM of 13226 and 13232

1. What is the LCM of 13226 and 13232?

Answer: LCM of 13226 and 13232 is 87503216.

2. 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.

3. What are the Factors of 13232?

Answer: Factors of 13232 are 1, 2, 4, 8, 16, 827, 1654, 3308, 6616, 13232. There are 10 integers that are factors of 13232. The greatest factor of 13232 is 13232.

4. How to Find the LCM of 13226 and 13232?

Answer:

Least Common Multiple of 13226 and 13232 = 87503216

Step 1: Find the prime factorization of 13226

13226 = 2 x 17 x 389

Step 2: Find the prime factorization of 13232

13232 = 2 x 2 x 2 x 2 x 827

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

LCM = 87503216 = 2 x 2 x 2 x 2 x 17 x 389 x 827

Step 4: Therefore, the least common multiple of 13226 and 13232 is 87503216.