Least Common Multiple of 1289 and 1293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1289 and 1293 the smallest integer that is 1666677 that is divisible by both numbers.

Least Common Multiple (LCM) of 1289 and 1293 is 1666677.

LCM(1289,1293) = 1666677

LCM of 1289 and 1293

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

LCM of:
and

Least Common Multiple of 1289 and 1293

LCM of 1289 and 1293 is 1666677

Least common multiple can be found by multiplying the highest exponent prime factors of 1289 and 1293. First we will calculate the prime factors of 1289 and 1293.

Prime Factorization of 1289


1289 1289
1

Prime factors of 1289 are 1289. Prime factorization of 1289 in exponential form is:

1289 = 12891

Prime Factorization of 1293


3 1293
431 431
1

Prime factors of 1293 are 3,431. Prime factorization of 1293 in exponential form is:

1293 = 31×4311

Now multiplying the highest exponent prime factors to calculate the LCM of 1289 and 1293.

LCM(1289,1293) = 31×4311×12891
LCM(1289,1293) = 1666677

Factors of 1289

List of positive integer factors of 1289 that divides 1289 without a remainder.

1, 1289

Factors of 1293

List of positive integer factors of 1293 that divides 1293 without a remainder.

1, 3, 431, 1293

Least Common Multiple of 1289 and 1293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1289 and 1293, than apply into the LCM equation.

GCF(1289,1293) = 1
LCM(1289,1293) = ( 1289 × 1293) / 1
LCM(1289,1293) = 1666677 / 1
LCM(1289,1293) = 1666677

Properties of LCM 1289 and 1293

(i) The LCM of 1293 and 1289 is associative

LCM of 1289 and 1293 = LCM of 1293 and 1289

Related Least Common Multiples of 1289

Related Least Common Multiples of 1293

Frequently Asked Questions on LCM of 1289 and 1293

1. What is the LCM of 1289 and 1293?

Answer: LCM of 1289 and 1293 is 1666677.

2. What are the Factors of 1289?

Answer: Factors of 1289 are 1, 1289. There are 2 integers that are factors of 1289. The greatest factor of 1289 is 1289.

3. What are the Factors of 1293?

Answer: Factors of 1293 are 1, 3, 431, 1293. There are 4 integers that are factors of 1293. The greatest factor of 1293 is 1293.

4. How to Find the LCM of 1289 and 1293?

Answer:

Least Common Multiple of 1289 and 1293 = 1666677

Step 1: Find the prime factorization of 1289

1289 = 1289

Step 2: Find the prime factorization of 1293

1293 = 3 x 431

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

LCM = 1666677 = 3 x 431 x 1289

Step 4: Therefore, the least common multiple of 1289 and 1293 is 1666677.