Least Common Multiple of 5306 and 5312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5306 and 5312 the smallest integer that is 14092736 that is divisible by both numbers.

Least Common Multiple (LCM) of 5306 and 5312 is 14092736.

LCM(5306,5312) = 14092736

LCM of 5306 and 5312

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

LCM of:
and

Least Common Multiple of 5306 and 5312

LCM of 5306 and 5312 is 14092736

Least common multiple can be found by multiplying the highest exponent prime factors of 5306 and 5312. First we will calculate the prime factors of 5306 and 5312.

Prime Factorization of 5306


2 5306
7 2653
379 379
1

Prime factors of 5306 are 2, 7,379. Prime factorization of 5306 in exponential form is:

5306 = 21×71×3791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5306 and 5312.

LCM(5306,5312) = 26×71×831×3791
LCM(5306,5312) = 14092736

Factors of 5306

List of positive integer factors of 5306 that divides 5306 without a remainder.

1, 2, 7, 14, 379, 758, 2653, 5306

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

Least Common Multiple of 5306 and 5312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5306 and 5312, than apply into the LCM equation.

GCF(5306,5312) = 2
LCM(5306,5312) = ( 5306 × 5312) / 2
LCM(5306,5312) = 28185472 / 2
LCM(5306,5312) = 14092736

Properties of LCM 5306 and 5312

(i) The LCM of 5312 and 5306 is associative

LCM of 5306 and 5312 = LCM of 5312 and 5306

Related Least Common Multiples of 5306

Related Least Common Multiples of 5312

Frequently Asked Questions on LCM of 5306 and 5312

1. What is the LCM of 5306 and 5312?

Answer: LCM of 5306 and 5312 is 14092736.

2. What are the Factors of 5306?

Answer: Factors of 5306 are 1, 2, 7, 14, 379, 758, 2653, 5306. There are 8 integers that are factors of 5306. The greatest factor of 5306 is 5306.

3. 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.

4. How to Find the LCM of 5306 and 5312?

Answer:

Least Common Multiple of 5306 and 5312 = 14092736

Step 1: Find the prime factorization of 5306

5306 = 2 x 7 x 379

Step 2: Find the prime factorization of 5312

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

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

LCM = 14092736 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 83 x 379

Step 4: Therefore, the least common multiple of 5306 and 5312 is 14092736.