Least Common Multiple of 15221 and 15226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15221 and 15226 the smallest integer that is 231754946 that is divisible by both numbers.

Least Common Multiple (LCM) of 15221 and 15226 is 231754946.

LCM(15221,15226) = 231754946

LCM of 15221 and 15226

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

LCM of:
and

Least Common Multiple of 15221 and 15226

LCM of 15221 and 15226 is 231754946

Least common multiple can be found by multiplying the highest exponent prime factors of 15221 and 15226. First we will calculate the prime factors of 15221 and 15226.

Prime Factorization of 15221


31 15221
491 491
1

Prime factors of 15221 are 31,491. Prime factorization of 15221 in exponential form is:

15221 = 311×4911

Prime Factorization of 15226


2 15226
23 7613
331 331
1

Prime factors of 15226 are 2, 23,331. Prime factorization of 15226 in exponential form is:

15226 = 21×231×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 15221 and 15226.

LCM(15221,15226) = 21×231×311×3311×4911
LCM(15221,15226) = 231754946

Factors of 15221

List of positive integer factors of 15221 that divides 15221 without a remainder.

1, 31, 491, 15221

Factors of 15226

List of positive integer factors of 15226 that divides 15226 without a remainder.

1, 2, 23, 46, 331, 662, 7613, 15226

Least Common Multiple of 15221 and 15226 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15221 and 15226, than apply into the LCM equation.

GCF(15221,15226) = 1
LCM(15221,15226) = ( 15221 × 15226) / 1
LCM(15221,15226) = 231754946 / 1
LCM(15221,15226) = 231754946

Properties of LCM 15221 and 15226

(i) The LCM of 15226 and 15221 is associative

LCM of 15221 and 15226 = LCM of 15226 and 15221

Related Least Common Multiples of 15221

Related Least Common Multiples of 15226

Frequently Asked Questions on LCM of 15221 and 15226

1. What is the LCM of 15221 and 15226?

Answer: LCM of 15221 and 15226 is 231754946.

2. What are the Factors of 15221?

Answer: Factors of 15221 are 1, 31, 491, 15221. There are 4 integers that are factors of 15221. The greatest factor of 15221 is 15221.

3. What are the Factors of 15226?

Answer: Factors of 15226 are 1, 2, 23, 46, 331, 662, 7613, 15226. There are 8 integers that are factors of 15226. The greatest factor of 15226 is 15226.

4. How to Find the LCM of 15221 and 15226?

Answer:

Least Common Multiple of 15221 and 15226 = 231754946

Step 1: Find the prime factorization of 15221

15221 = 31 x 491

Step 2: Find the prime factorization of 15226

15226 = 2 x 23 x 331

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

LCM = 231754946 = 2 x 23 x 31 x 331 x 491

Step 4: Therefore, the least common multiple of 15221 and 15226 is 231754946.