Least Common Multiple of 1312 and 1316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1312 and 1316 the smallest integer that is 431648 that is divisible by both numbers.

Least Common Multiple (LCM) of 1312 and 1316 is 431648.

LCM(1312,1316) = 431648

LCM of 1312 and 1316

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

LCM of:
and

Least Common Multiple of 1312 and 1316

LCM of 1312 and 1316 is 431648

Least common multiple can be found by multiplying the highest exponent prime factors of 1312 and 1316. First we will calculate the prime factors of 1312 and 1316.

Prime Factorization of 1312


2 1312
2 656
2 328
2 164
2 82
41 41
1

Prime factors of 1312 are 2,41. Prime factorization of 1312 in exponential form is:

1312 = 25×411

Prime Factorization of 1316


2 1316
2 658
7 329
47 47
1

Prime factors of 1316 are 2, 7,47. Prime factorization of 1316 in exponential form is:

1316 = 22×71×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1312 and 1316.

LCM(1312,1316) = 25×71×411×471
LCM(1312,1316) = 431648

Factors of 1312

List of positive integer factors of 1312 that divides 1312 without a remainder.

1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312

Factors of 1316

List of positive integer factors of 1316 that divides 1316 without a remainder.

1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316

Least Common Multiple of 1312 and 1316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1312 and 1316, than apply into the LCM equation.

GCF(1312,1316) = 4
LCM(1312,1316) = ( 1312 × 1316) / 4
LCM(1312,1316) = 1726592 / 4
LCM(1312,1316) = 431648

Properties of LCM 1312 and 1316

(i) The LCM of 1316 and 1312 is associative

LCM of 1312 and 1316 = LCM of 1316 and 1312

Related Least Common Multiples of 1312

Related Least Common Multiples of 1316

Frequently Asked Questions on LCM of 1312 and 1316

1. What is the LCM of 1312 and 1316?

Answer: LCM of 1312 and 1316 is 431648.

2. What are the Factors of 1312?

Answer: Factors of 1312 are 1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312. There are 12 integers that are factors of 1312. The greatest factor of 1312 is 1312.

3. What are the Factors of 1316?

Answer: Factors of 1316 are 1, 2, 4, 7, 14, 28, 47, 94, 188, 329, 658, 1316. There are 12 integers that are factors of 1316. The greatest factor of 1316 is 1316.

4. How to Find the LCM of 1312 and 1316?

Answer:

Least Common Multiple of 1312 and 1316 = 431648

Step 1: Find the prime factorization of 1312

1312 = 2 x 2 x 2 x 2 x 2 x 41

Step 2: Find the prime factorization of 1316

1316 = 2 x 2 x 7 x 47

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

LCM = 431648 = 2 x 2 x 2 x 2 x 2 x 7 x 41 x 47

Step 4: Therefore, the least common multiple of 1312 and 1316 is 431648.