Least Common Multiple of 1306 and 1312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1306 and 1312 the smallest integer that is 856736 that is divisible by both numbers.

Least Common Multiple (LCM) of 1306 and 1312 is 856736.

LCM(1306,1312) = 856736

LCM of 1306 and 1312

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

LCM of:
and

Least Common Multiple of 1306 and 1312

LCM of 1306 and 1312 is 856736

Least common multiple can be found by multiplying the highest exponent prime factors of 1306 and 1312. First we will calculate the prime factors of 1306 and 1312.

Prime Factorization of 1306


2 1306
653 653
1

Prime factors of 1306 are 2,653. Prime factorization of 1306 in exponential form is:

1306 = 21×6531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1306 and 1312.

LCM(1306,1312) = 25×411×6531
LCM(1306,1312) = 856736

Factors of 1306

List of positive integer factors of 1306 that divides 1306 without a remainder.

1, 2, 653, 1306

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

Least Common Multiple of 1306 and 1312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1306 and 1312, than apply into the LCM equation.

GCF(1306,1312) = 2
LCM(1306,1312) = ( 1306 × 1312) / 2
LCM(1306,1312) = 1713472 / 2
LCM(1306,1312) = 856736

Properties of LCM 1306 and 1312

(i) The LCM of 1312 and 1306 is associative

LCM of 1306 and 1312 = LCM of 1312 and 1306

Related Least Common Multiples of 1306

Related Least Common Multiples of 1312

Frequently Asked Questions on LCM of 1306 and 1312

1. What is the LCM of 1306 and 1312?

Answer: LCM of 1306 and 1312 is 856736.

2. What are the Factors of 1306?

Answer: Factors of 1306 are 1, 2, 653, 1306. There are 4 integers that are factors of 1306. The greatest factor of 1306 is 1306.

3. 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.

4. How to Find the LCM of 1306 and 1312?

Answer:

Least Common Multiple of 1306 and 1312 = 856736

Step 1: Find the prime factorization of 1306

1306 = 2 x 653

Step 2: Find the prime factorization of 1312

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

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

LCM = 856736 = 2 x 2 x 2 x 2 x 2 x 41 x 653

Step 4: Therefore, the least common multiple of 1306 and 1312 is 856736.