Least Common Multiple of 5307 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 5307 and 5312 the smallest integer that is 28190784 that is divisible by both numbers.

Least Common Multiple (LCM) of 5307 and 5312 is 28190784.

LCM(5307,5312) = 28190784

LCM of 5307 and 5312

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

LCM of:
and

Least Common Multiple of 5307 and 5312

LCM of 5307 and 5312 is 28190784

Least common multiple can be found by multiplying the highest exponent prime factors of 5307 and 5312. First we will calculate the prime factors of 5307 and 5312.

Prime Factorization of 5307


3 5307
29 1769
61 61
1

Prime factors of 5307 are 3, 29,61. Prime factorization of 5307 in exponential form is:

5307 = 31×291×611

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 5307 and 5312.

LCM(5307,5312) = 26×31×291×611×831
LCM(5307,5312) = 28190784

Factors of 5307

List of positive integer factors of 5307 that divides 5307 without a remainder.

1, 3, 29, 61, 87, 183, 1769, 5307

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 5307 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 5307 and 5312, than apply into the LCM equation.

GCF(5307,5312) = 1
LCM(5307,5312) = ( 5307 × 5312) / 1
LCM(5307,5312) = 28190784 / 1
LCM(5307,5312) = 28190784

Properties of LCM 5307 and 5312

(i) The LCM of 5312 and 5307 is associative

LCM of 5307 and 5312 = LCM of 5312 and 5307

Related Least Common Multiples of 5307

Related Least Common Multiples of 5312

Frequently Asked Questions on LCM of 5307 and 5312

1. What is the LCM of 5307 and 5312?

Answer: LCM of 5307 and 5312 is 28190784.

2. What are the Factors of 5307?

Answer: Factors of 5307 are 1, 3, 29, 61, 87, 183, 1769, 5307. There are 8 integers that are factors of 5307. The greatest factor of 5307 is 5307.

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 5307 and 5312?

Answer:

Least Common Multiple of 5307 and 5312 = 28190784

Step 1: Find the prime factorization of 5307

5307 = 3 x 29 x 61

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 = 28190784 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 29 x 61 x 83

Step 4: Therefore, the least common multiple of 5307 and 5312 is 28190784.