Least Common Multiple of 15316 and 15321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15316 and 15321 the smallest integer that is 234656436 that is divisible by both numbers.

Least Common Multiple (LCM) of 15316 and 15321 is 234656436.

LCM(15316,15321) = 234656436

LCM of 15316 and 15321

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

LCM of:
and

Least Common Multiple of 15316 and 15321

LCM of 15316 and 15321 is 234656436

Least common multiple can be found by multiplying the highest exponent prime factors of 15316 and 15321. First we will calculate the prime factors of 15316 and 15321.

Prime Factorization of 15316


2 15316
2 7658
7 3829
547 547
1

Prime factors of 15316 are 2, 7,547. Prime factorization of 15316 in exponential form is:

15316 = 22×71×5471

Prime Factorization of 15321


3 15321
5107 5107
1

Prime factors of 15321 are 3,5107. Prime factorization of 15321 in exponential form is:

15321 = 31×51071

Now multiplying the highest exponent prime factors to calculate the LCM of 15316 and 15321.

LCM(15316,15321) = 22×31×71×5471×51071
LCM(15316,15321) = 234656436

Factors of 15316

List of positive integer factors of 15316 that divides 15316 without a remainder.

1, 2, 4, 7, 14, 28, 547, 1094, 2188, 3829, 7658, 15316

Factors of 15321

List of positive integer factors of 15321 that divides 15321 without a remainder.

1, 3, 5107, 15321

Least Common Multiple of 15316 and 15321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15316 and 15321, than apply into the LCM equation.

GCF(15316,15321) = 1
LCM(15316,15321) = ( 15316 × 15321) / 1
LCM(15316,15321) = 234656436 / 1
LCM(15316,15321) = 234656436

Properties of LCM 15316 and 15321

(i) The LCM of 15321 and 15316 is associative

LCM of 15316 and 15321 = LCM of 15321 and 15316

Related Least Common Multiples of 15316

Related Least Common Multiples of 15321

Frequently Asked Questions on LCM of 15316 and 15321

1. What is the LCM of 15316 and 15321?

Answer: LCM of 15316 and 15321 is 234656436.

2. What are the Factors of 15316?

Answer: Factors of 15316 are 1, 2, 4, 7, 14, 28, 547, 1094, 2188, 3829, 7658, 15316. There are 12 integers that are factors of 15316. The greatest factor of 15316 is 15316.

3. What are the Factors of 15321?

Answer: Factors of 15321 are 1, 3, 5107, 15321. There are 4 integers that are factors of 15321. The greatest factor of 15321 is 15321.

4. How to Find the LCM of 15316 and 15321?

Answer:

Least Common Multiple of 15316 and 15321 = 234656436

Step 1: Find the prime factorization of 15316

15316 = 2 x 2 x 7 x 547

Step 2: Find the prime factorization of 15321

15321 = 3 x 5107

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

LCM = 234656436 = 2 x 2 x 3 x 7 x 547 x 5107

Step 4: Therefore, the least common multiple of 15316 and 15321 is 234656436.