Least Common Multiple of 15227 and 15229

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 15229 the smallest integer that is 231891983 that is divisible by both numbers.

Least Common Multiple (LCM) of 15227 and 15229 is 231891983.

LCM(15227,15229) = 231891983

LCM of 15227 and 15229

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

LCM of:
and

Least Common Multiple of 15227 and 15229

LCM of 15227 and 15229 is 231891983

Least common multiple can be found by multiplying the highest exponent prime factors of 15227 and 15229. First we will calculate the prime factors of 15227 and 15229.

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 15229


97 15229
157 157
1

Prime factors of 15229 are 97,157. Prime factorization of 15229 in exponential form is:

15229 = 971×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 15227 and 15229.

LCM(15227,15229) = 971×1571×152271
LCM(15227,15229) = 231891983

Factors of 15227

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

1, 15227

Factors of 15229

List of positive integer factors of 15229 that divides 15229 without a remainder.

1, 97, 157, 15229

Least Common Multiple of 15227 and 15229 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 15229, than apply into the LCM equation.

GCF(15227,15229) = 1
LCM(15227,15229) = ( 15227 × 15229) / 1
LCM(15227,15229) = 231891983 / 1
LCM(15227,15229) = 231891983

Properties of LCM 15227 and 15229

(i) The LCM of 15229 and 15227 is associative

LCM of 15227 and 15229 = LCM of 15229 and 15227

Related Least Common Multiples of 15227

Related Least Common Multiples of 15229

Frequently Asked Questions on LCM of 15227 and 15229

1. What is the LCM of 15227 and 15229?

Answer: LCM of 15227 and 15229 is 231891983.

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 15229?

Answer: Factors of 15229 are 1, 97, 157, 15229. There are 4 integers that are factors of 15229. The greatest factor of 15229 is 15229.

4. How to Find the LCM of 15227 and 15229?

Answer:

Least Common Multiple of 15227 and 15229 = 231891983

Step 1: Find the prime factorization of 15227

15227 = 15227

Step 2: Find the prime factorization of 15229

15229 = 97 x 157

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

LCM = 231891983 = 97 x 157 x 15227

Step 4: Therefore, the least common multiple of 15227 and 15229 is 231891983.