Least Common Multiple of 15231 and 15234

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 15234 the smallest integer that is 77343018 that is divisible by both numbers.

Least Common Multiple (LCM) of 15231 and 15234 is 77343018.

LCM(15231,15234) = 77343018

LCM of 15231 and 15234

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

LCM of:
and

Least Common Multiple of 15231 and 15234

LCM of 15231 and 15234 is 77343018

Least common multiple can be found by multiplying the highest exponent prime factors of 15231 and 15234. First we will calculate the prime factors of 15231 and 15234.

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 15234


2 15234
3 7617
2539 2539
1

Prime factors of 15234 are 2, 3,2539. Prime factorization of 15234 in exponential form is:

15234 = 21×31×25391

Now multiplying the highest exponent prime factors to calculate the LCM of 15231 and 15234.

LCM(15231,15234) = 21×31×25391×50771
LCM(15231,15234) = 77343018

Factors of 15231

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

1, 3, 5077, 15231

Factors of 15234

List of positive integer factors of 15234 that divides 15234 without a remainder.

1, 2, 3, 6, 2539, 5078, 7617, 15234

Least Common Multiple of 15231 and 15234 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 15234, than apply into the LCM equation.

GCF(15231,15234) = 3
LCM(15231,15234) = ( 15231 × 15234) / 3
LCM(15231,15234) = 232029054 / 3
LCM(15231,15234) = 77343018

Properties of LCM 15231 and 15234

(i) The LCM of 15234 and 15231 is associative

LCM of 15231 and 15234 = LCM of 15234 and 15231

Related Least Common Multiples of 15231

Related Least Common Multiples of 15234

Frequently Asked Questions on LCM of 15231 and 15234

1. What is the LCM of 15231 and 15234?

Answer: LCM of 15231 and 15234 is 77343018.

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 15234?

Answer: Factors of 15234 are 1, 2, 3, 6, 2539, 5078, 7617, 15234. There are 8 integers that are factors of 15234. The greatest factor of 15234 is 15234.

4. How to Find the LCM of 15231 and 15234?

Answer:

Least Common Multiple of 15231 and 15234 = 77343018

Step 1: Find the prime factorization of 15231

15231 = 3 x 5077

Step 2: Find the prime factorization of 15234

15234 = 2 x 3 x 2539

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

LCM = 77343018 = 2 x 3 x 2539 x 5077

Step 4: Therefore, the least common multiple of 15231 and 15234 is 77343018.