Least Common Multiple of 15316 and 15324

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 15324 the smallest integer that is 58675596 that is divisible by both numbers.

Least Common Multiple (LCM) of 15316 and 15324 is 58675596.

LCM(15316,15324) = 58675596

LCM of 15316 and 15324

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

LCM of:
and

Least Common Multiple of 15316 and 15324

LCM of 15316 and 15324 is 58675596

Least common multiple can be found by multiplying the highest exponent prime factors of 15316 and 15324. First we will calculate the prime factors of 15316 and 15324.

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 15324


2 15324
2 7662
3 3831
1277 1277
1

Prime factors of 15324 are 2, 3,1277. Prime factorization of 15324 in exponential form is:

15324 = 22×31×12771

Now multiplying the highest exponent prime factors to calculate the LCM of 15316 and 15324.

LCM(15316,15324) = 22×31×71×5471×12771
LCM(15316,15324) = 58675596

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 15324

List of positive integer factors of 15324 that divides 15324 without a remainder.

1, 2, 3, 4, 6, 12, 1277, 2554, 3831, 5108, 7662, 15324

Least Common Multiple of 15316 and 15324 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 15324, than apply into the LCM equation.

GCF(15316,15324) = 4
LCM(15316,15324) = ( 15316 × 15324) / 4
LCM(15316,15324) = 234702384 / 4
LCM(15316,15324) = 58675596

Properties of LCM 15316 and 15324

(i) The LCM of 15324 and 15316 is associative

LCM of 15316 and 15324 = LCM of 15324 and 15316

Related Least Common Multiples of 15316

Related Least Common Multiples of 15324

Frequently Asked Questions on LCM of 15316 and 15324

1. What is the LCM of 15316 and 15324?

Answer: LCM of 15316 and 15324 is 58675596.

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 15324?

Answer: Factors of 15324 are 1, 2, 3, 4, 6, 12, 1277, 2554, 3831, 5108, 7662, 15324. There are 12 integers that are factors of 15324. The greatest factor of 15324 is 15324.

4. How to Find the LCM of 15316 and 15324?

Answer:

Least Common Multiple of 15316 and 15324 = 58675596

Step 1: Find the prime factorization of 15316

15316 = 2 x 2 x 7 x 547

Step 2: Find the prime factorization of 15324

15324 = 2 x 2 x 3 x 1277

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

LCM = 58675596 = 2 x 2 x 3 x 7 x 547 x 1277

Step 4: Therefore, the least common multiple of 15316 and 15324 is 58675596.