Least Common Multiple of 15231 and 15235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15231 and 15235 the smallest integer that is 232044285 that is divisible by both numbers.

Least Common Multiple (LCM) of 15231 and 15235 is 232044285.

LCM(15231,15235) = 232044285

LCM of 15231 and 15235

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

LCM of:
and

Least Common Multiple of 15231 and 15235

LCM of 15231 and 15235 is 232044285

Least common multiple can be found by multiplying the highest exponent prime factors of 15231 and 15235. First we will calculate the prime factors of 15231 and 15235.

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

Prime Factorization of 15235


5 15235
11 3047
277 277
1

Prime factors of 15235 are 5, 11,277. Prime factorization of 15235 in exponential form is:

15235 = 51×111×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 15231 and 15235.

LCM(15231,15235) = 31×51×111×2771×50771
LCM(15231,15235) = 232044285

Factors of 15231

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

1, 3, 5077, 15231

Factors of 15235

List of positive integer factors of 15235 that divides 15235 without a remainder.

1, 5, 11, 55, 277, 1385, 3047, 15235

Least Common Multiple of 15231 and 15235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15231 and 15235, than apply into the LCM equation.

GCF(15231,15235) = 1
LCM(15231,15235) = ( 15231 × 15235) / 1
LCM(15231,15235) = 232044285 / 1
LCM(15231,15235) = 232044285

Properties of LCM 15231 and 15235

(i) The LCM of 15235 and 15231 is associative

LCM of 15231 and 15235 = LCM of 15235 and 15231

Related Least Common Multiples of 15231

Related Least Common Multiples of 15235

Frequently Asked Questions on LCM of 15231 and 15235

1. What is the LCM of 15231 and 15235?

Answer: LCM of 15231 and 15235 is 232044285.

2. 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.

3. What are the Factors of 15235?

Answer: Factors of 15235 are 1, 5, 11, 55, 277, 1385, 3047, 15235. There are 8 integers that are factors of 15235. The greatest factor of 15235 is 15235.

4. How to Find the LCM of 15231 and 15235?

Answer:

Least Common Multiple of 15231 and 15235 = 232044285

Step 1: Find the prime factorization of 15231

15231 = 3 x 5077

Step 2: Find the prime factorization of 15235

15235 = 5 x 11 x 277

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

LCM = 232044285 = 3 x 5 x 11 x 277 x 5077

Step 4: Therefore, the least common multiple of 15231 and 15235 is 232044285.