Least Common Multiple of 15316 and 15320

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 15320 the smallest integer that is 58660280 that is divisible by both numbers.

Least Common Multiple (LCM) of 15316 and 15320 is 58660280.

LCM(15316,15320) = 58660280

LCM of 15316 and 15320

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

LCM of:
and

Least Common Multiple of 15316 and 15320

LCM of 15316 and 15320 is 58660280

Least common multiple can be found by multiplying the highest exponent prime factors of 15316 and 15320. First we will calculate the prime factors of 15316 and 15320.

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 15320


2 15320
2 7660
2 3830
5 1915
383 383
1

Prime factors of 15320 are 2, 5,383. Prime factorization of 15320 in exponential form is:

15320 = 23×51×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 15316 and 15320.

LCM(15316,15320) = 23×51×71×3831×5471
LCM(15316,15320) = 58660280

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 15320

List of positive integer factors of 15320 that divides 15320 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 383, 766, 1532, 1915, 3064, 3830, 7660, 15320

Least Common Multiple of 15316 and 15320 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 15320, than apply into the LCM equation.

GCF(15316,15320) = 4
LCM(15316,15320) = ( 15316 × 15320) / 4
LCM(15316,15320) = 234641120 / 4
LCM(15316,15320) = 58660280

Properties of LCM 15316 and 15320

(i) The LCM of 15320 and 15316 is associative

LCM of 15316 and 15320 = LCM of 15320 and 15316

Related Least Common Multiples of 15316

Related Least Common Multiples of 15320

Frequently Asked Questions on LCM of 15316 and 15320

1. What is the LCM of 15316 and 15320?

Answer: LCM of 15316 and 15320 is 58660280.

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 15320?

Answer: Factors of 15320 are 1, 2, 4, 5, 8, 10, 20, 40, 383, 766, 1532, 1915, 3064, 3830, 7660, 15320. There are 16 integers that are factors of 15320. The greatest factor of 15320 is 15320.

4. How to Find the LCM of 15316 and 15320?

Answer:

Least Common Multiple of 15316 and 15320 = 58660280

Step 1: Find the prime factorization of 15316

15316 = 2 x 2 x 7 x 547

Step 2: Find the prime factorization of 15320

15320 = 2 x 2 x 2 x 5 x 383

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

LCM = 58660280 = 2 x 2 x 2 x 5 x 7 x 383 x 547

Step 4: Therefore, the least common multiple of 15316 and 15320 is 58660280.