Least Common Multiple of 15227 and 15231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15227 and 15231 the smallest integer that is 231922437 that is divisible by both numbers.

Least Common Multiple (LCM) of 15227 and 15231 is 231922437.

LCM(15227,15231) = 231922437

LCM of 15227 and 15231

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

LCM of:
and

Least Common Multiple of 15227 and 15231

LCM of 15227 and 15231 is 231922437

Least common multiple can be found by multiplying the highest exponent prime factors of 15227 and 15231. First we will calculate the prime factors of 15227 and 15231.

Prime Factorization of 15227


15227 15227
1

Prime factors of 15227 are 15227. Prime factorization of 15227 in exponential form is:

15227 = 152271

Prime Factorization of 15231


3 15231
5077 5077
1

Prime factors of 15231 are 3,5077. Prime factorization of 15231 in exponential form is:

15231 = 31×50771

Now multiplying the highest exponent prime factors to calculate the LCM of 15227 and 15231.

LCM(15227,15231) = 31×50771×152271
LCM(15227,15231) = 231922437

Factors of 15227

List of positive integer factors of 15227 that divides 15227 without a remainder.

1, 15227

Factors of 15231

List of positive integer factors of 15231 that divides 15231 without a remainder.

1, 3, 5077, 15231

Least Common Multiple of 15227 and 15231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15227 and 15231, than apply into the LCM equation.

GCF(15227,15231) = 1
LCM(15227,15231) = ( 15227 × 15231) / 1
LCM(15227,15231) = 231922437 / 1
LCM(15227,15231) = 231922437

Properties of LCM 15227 and 15231

(i) The LCM of 15231 and 15227 is associative

LCM of 15227 and 15231 = LCM of 15231 and 15227

Related Least Common Multiples of 15227

Related Least Common Multiples of 15231

Frequently Asked Questions on LCM of 15227 and 15231

1. What is the LCM of 15227 and 15231?

Answer: LCM of 15227 and 15231 is 231922437.

2. What are the Factors of 15227?

Answer: Factors of 15227 are 1, 15227. There are 2 integers that are factors of 15227. The greatest factor of 15227 is 15227.

3. What are the Factors of 15231?

Answer: Factors of 15231 are 1, 3, 5077, 15231. There are 4 integers that are factors of 15231. The greatest factor of 15231 is 15231.

4. How to Find the LCM of 15227 and 15231?

Answer:

Least Common Multiple of 15227 and 15231 = 231922437

Step 1: Find the prime factorization of 15227

15227 = 15227

Step 2: Find the prime factorization of 15231

15231 = 3 x 5077

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

LCM = 231922437 = 3 x 5077 x 15227

Step 4: Therefore, the least common multiple of 15227 and 15231 is 231922437.