Least Common Multiple of 1309 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 1309 and 1316 the smallest integer that is 246092 that is divisible by both numbers.

Least Common Multiple (LCM) of 1309 and 1316 is 246092.

LCM(1309,1316) = 246092

LCM of 1309 and 1316

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

LCM of:
and

Least Common Multiple of 1309 and 1316

LCM of 1309 and 1316 is 246092

Least common multiple can be found by multiplying the highest exponent prime factors of 1309 and 1316. First we will calculate the prime factors of 1309 and 1316.

Prime Factorization of 1309


7 1309
11 187
17 17
1

Prime factors of 1309 are 7, 11,17. Prime factorization of 1309 in exponential form is:

1309 = 71×111×171

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 1309 and 1316.

LCM(1309,1316) = 22×71×111×171×471
LCM(1309,1316) = 246092

Factors of 1309

List of positive integer factors of 1309 that divides 1309 without a remainder.

1, 7, 11, 17, 77, 119, 187, 1309

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 1309 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 1309 and 1316, than apply into the LCM equation.

GCF(1309,1316) = 7
LCM(1309,1316) = ( 1309 × 1316) / 7
LCM(1309,1316) = 1722644 / 7
LCM(1309,1316) = 246092

Properties of LCM 1309 and 1316

(i) The LCM of 1316 and 1309 is associative

LCM of 1309 and 1316 = LCM of 1316 and 1309

Related Least Common Multiples of 1309

Related Least Common Multiples of 1316

Frequently Asked Questions on LCM of 1309 and 1316

1. What is the LCM of 1309 and 1316?

Answer: LCM of 1309 and 1316 is 246092.

2. What are the Factors of 1309?

Answer: Factors of 1309 are 1, 7, 11, 17, 77, 119, 187, 1309. There are 8 integers that are factors of 1309. The greatest factor of 1309 is 1309.

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 1309 and 1316?

Answer:

Least Common Multiple of 1309 and 1316 = 246092

Step 1: Find the prime factorization of 1309

1309 = 7 x 11 x 17

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 = 246092 = 2 x 2 x 7 x 11 x 17 x 47

Step 4: Therefore, the least common multiple of 1309 and 1316 is 246092.