Least Common Multiple of 15310 and 15316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15310 and 15316 the smallest integer that is 117243980 that is divisible by both numbers.

Least Common Multiple (LCM) of 15310 and 15316 is 117243980.

LCM(15310,15316) = 117243980

LCM of 15310 and 15316

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

LCM of:
and

Least Common Multiple of 15310 and 15316

LCM of 15310 and 15316 is 117243980

Least common multiple can be found by multiplying the highest exponent prime factors of 15310 and 15316. First we will calculate the prime factors of 15310 and 15316.

Prime Factorization of 15310


2 15310
5 7655
1531 1531
1

Prime factors of 15310 are 2, 5,1531. Prime factorization of 15310 in exponential form is:

15310 = 21×51×15311

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15310 and 15316.

LCM(15310,15316) = 22×51×71×5471×15311
LCM(15310,15316) = 117243980

Factors of 15310

List of positive integer factors of 15310 that divides 15310 without a remainder.

1, 2, 5, 10, 1531, 3062, 7655, 15310

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

Least Common Multiple of 15310 and 15316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15310 and 15316, than apply into the LCM equation.

GCF(15310,15316) = 2
LCM(15310,15316) = ( 15310 × 15316) / 2
LCM(15310,15316) = 234487960 / 2
LCM(15310,15316) = 117243980

Properties of LCM 15310 and 15316

(i) The LCM of 15316 and 15310 is associative

LCM of 15310 and 15316 = LCM of 15316 and 15310

Related Least Common Multiples of 15310

Related Least Common Multiples of 15316

Frequently Asked Questions on LCM of 15310 and 15316

1. What is the LCM of 15310 and 15316?

Answer: LCM of 15310 and 15316 is 117243980.

2. What are the Factors of 15310?

Answer: Factors of 15310 are 1, 2, 5, 10, 1531, 3062, 7655, 15310. There are 8 integers that are factors of 15310. The greatest factor of 15310 is 15310.

3. 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.

4. How to Find the LCM of 15310 and 15316?

Answer:

Least Common Multiple of 15310 and 15316 = 117243980

Step 1: Find the prime factorization of 15310

15310 = 2 x 5 x 1531

Step 2: Find the prime factorization of 15316

15316 = 2 x 2 x 7 x 547

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

LCM = 117243980 = 2 x 2 x 5 x 7 x 547 x 1531

Step 4: Therefore, the least common multiple of 15310 and 15316 is 117243980.