Least Common Multiple of 15331 and 15338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15331 and 15338 the smallest integer that is 235146878 that is divisible by both numbers.

Least Common Multiple (LCM) of 15331 and 15338 is 235146878.

LCM(15331,15338) = 235146878

LCM of 15331 and 15338

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

LCM of:
and

Least Common Multiple of 15331 and 15338

LCM of 15331 and 15338 is 235146878

Least common multiple can be found by multiplying the highest exponent prime factors of 15331 and 15338. First we will calculate the prime factors of 15331 and 15338.

Prime Factorization of 15331


15331 15331
1

Prime factors of 15331 are 15331. Prime factorization of 15331 in exponential form is:

15331 = 153311

Prime Factorization of 15338


2 15338
7669 7669
1

Prime factors of 15338 are 2,7669. Prime factorization of 15338 in exponential form is:

15338 = 21×76691

Now multiplying the highest exponent prime factors to calculate the LCM of 15331 and 15338.

LCM(15331,15338) = 21×76691×153311
LCM(15331,15338) = 235146878

Factors of 15331

List of positive integer factors of 15331 that divides 15331 without a remainder.

1, 15331

Factors of 15338

List of positive integer factors of 15338 that divides 15338 without a remainder.

1, 2, 7669, 15338

Least Common Multiple of 15331 and 15338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15331 and 15338, than apply into the LCM equation.

GCF(15331,15338) = 1
LCM(15331,15338) = ( 15331 × 15338) / 1
LCM(15331,15338) = 235146878 / 1
LCM(15331,15338) = 235146878

Properties of LCM 15331 and 15338

(i) The LCM of 15338 and 15331 is associative

LCM of 15331 and 15338 = LCM of 15338 and 15331

Related Least Common Multiples of 15331

Related Least Common Multiples of 15338

Frequently Asked Questions on LCM of 15331 and 15338

1. What is the LCM of 15331 and 15338?

Answer: LCM of 15331 and 15338 is 235146878.

2. What are the Factors of 15331?

Answer: Factors of 15331 are 1, 15331. There are 2 integers that are factors of 15331. The greatest factor of 15331 is 15331.

3. What are the Factors of 15338?

Answer: Factors of 15338 are 1, 2, 7669, 15338. There are 4 integers that are factors of 15338. The greatest factor of 15338 is 15338.

4. How to Find the LCM of 15331 and 15338?

Answer:

Least Common Multiple of 15331 and 15338 = 235146878

Step 1: Find the prime factorization of 15331

15331 = 15331

Step 2: Find the prime factorization of 15338

15338 = 2 x 7669

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

LCM = 235146878 = 2 x 7669 x 15331

Step 4: Therefore, the least common multiple of 15331 and 15338 is 235146878.