Least Common Multiple of 15227 and 15230

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 15230 the smallest integer that is 231907210 that is divisible by both numbers.

Least Common Multiple (LCM) of 15227 and 15230 is 231907210.

LCM(15227,15230) = 231907210

LCM of 15227 and 15230

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

LCM of:
and

Least Common Multiple of 15227 and 15230

LCM of 15227 and 15230 is 231907210

Least common multiple can be found by multiplying the highest exponent prime factors of 15227 and 15230. First we will calculate the prime factors of 15227 and 15230.

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 15230


2 15230
5 7615
1523 1523
1

Prime factors of 15230 are 2, 5,1523. Prime factorization of 15230 in exponential form is:

15230 = 21×51×15231

Now multiplying the highest exponent prime factors to calculate the LCM of 15227 and 15230.

LCM(15227,15230) = 21×51×15231×152271
LCM(15227,15230) = 231907210

Factors of 15227

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

1, 15227

Factors of 15230

List of positive integer factors of 15230 that divides 15230 without a remainder.

1, 2, 5, 10, 1523, 3046, 7615, 15230

Least Common Multiple of 15227 and 15230 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 15230, than apply into the LCM equation.

GCF(15227,15230) = 1
LCM(15227,15230) = ( 15227 × 15230) / 1
LCM(15227,15230) = 231907210 / 1
LCM(15227,15230) = 231907210

Properties of LCM 15227 and 15230

(i) The LCM of 15230 and 15227 is associative

LCM of 15227 and 15230 = LCM of 15230 and 15227

Related Least Common Multiples of 15227

Related Least Common Multiples of 15230

Frequently Asked Questions on LCM of 15227 and 15230

1. What is the LCM of 15227 and 15230?

Answer: LCM of 15227 and 15230 is 231907210.

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 15230?

Answer: Factors of 15230 are 1, 2, 5, 10, 1523, 3046, 7615, 15230. There are 8 integers that are factors of 15230. The greatest factor of 15230 is 15230.

4. How to Find the LCM of 15227 and 15230?

Answer:

Least Common Multiple of 15227 and 15230 = 231907210

Step 1: Find the prime factorization of 15227

15227 = 15227

Step 2: Find the prime factorization of 15230

15230 = 2 x 5 x 1523

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

LCM = 231907210 = 2 x 5 x 1523 x 15227

Step 4: Therefore, the least common multiple of 15227 and 15230 is 231907210.