Least Common Multiple of 5312 and 5320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5312 and 5320 the smallest integer that is 3532480 that is divisible by both numbers.

Least Common Multiple (LCM) of 5312 and 5320 is 3532480.

LCM(5312,5320) = 3532480

LCM of 5312 and 5320

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

LCM of:
and

Least Common Multiple of 5312 and 5320

LCM of 5312 and 5320 is 3532480

Least common multiple can be found by multiplying the highest exponent prime factors of 5312 and 5320. First we will calculate the prime factors of 5312 and 5320.

Prime Factorization of 5312


2 5312
2 2656
2 1328
2 664
2 332
2 166
83 83
1

Prime factors of 5312 are 2,83. Prime factorization of 5312 in exponential form is:

5312 = 26×831

Prime Factorization of 5320


2 5320
2 2660
2 1330
5 665
7 133
19 19
1

Prime factors of 5320 are 2, 5, 7,19. Prime factorization of 5320 in exponential form is:

5320 = 23×51×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 5312 and 5320.

LCM(5312,5320) = 26×51×71×191×831
LCM(5312,5320) = 3532480

Factors of 5312

List of positive integer factors of 5312 that divides 5312 without a remainder.

1, 2, 4, 8, 16, 32, 64, 83, 166, 332, 664, 1328, 2656, 5312

Factors of 5320

List of positive integer factors of 5320 that divides 5320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320

Least Common Multiple of 5312 and 5320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5312 and 5320, than apply into the LCM equation.

GCF(5312,5320) = 8
LCM(5312,5320) = ( 5312 × 5320) / 8
LCM(5312,5320) = 28259840 / 8
LCM(5312,5320) = 3532480

Properties of LCM 5312 and 5320

(i) The LCM of 5320 and 5312 is associative

LCM of 5312 and 5320 = LCM of 5320 and 5312

Related Least Common Multiples of 5312

Related Least Common Multiples of 5320

Frequently Asked Questions on LCM of 5312 and 5320

1. What is the LCM of 5312 and 5320?

Answer: LCM of 5312 and 5320 is 3532480.

2. What are the Factors of 5312?

Answer: Factors of 5312 are 1, 2, 4, 8, 16, 32, 64, 83, 166, 332, 664, 1328, 2656, 5312. There are 14 integers that are factors of 5312. The greatest factor of 5312 is 5312.

3. What are the Factors of 5320?

Answer: Factors of 5320 are 1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660, 5320. There are 32 integers that are factors of 5320. The greatest factor of 5320 is 5320.

4. How to Find the LCM of 5312 and 5320?

Answer:

Least Common Multiple of 5312 and 5320 = 3532480

Step 1: Find the prime factorization of 5312

5312 = 2 x 2 x 2 x 2 x 2 x 2 x 83

Step 2: Find the prime factorization of 5320

5320 = 2 x 2 x 2 x 5 x 7 x 19

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

LCM = 3532480 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 19 x 83

Step 4: Therefore, the least common multiple of 5312 and 5320 is 3532480.