Least Common Multiple of 1289 and 1296

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 1296 the smallest integer that is 1670544 that is divisible by both numbers.

Least Common Multiple (LCM) of 1289 and 1296 is 1670544.

LCM(1289,1296) = 1670544

LCM of 1289 and 1296

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

LCM of:
and

Least Common Multiple of 1289 and 1296

LCM of 1289 and 1296 is 1670544

Least common multiple can be found by multiplying the highest exponent prime factors of 1289 and 1296. First we will calculate the prime factors of 1289 and 1296.

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 1296


2 1296
2 648
2 324
2 162
3 81
3 27
3 9
3 3
1

Prime factors of 1296 are 2,3. Prime factorization of 1296 in exponential form is:

1296 = 24×34

Now multiplying the highest exponent prime factors to calculate the LCM of 1289 and 1296.

LCM(1289,1296) = 24×34×12891
LCM(1289,1296) = 1670544

Factors of 1289

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

1, 1289

Factors of 1296

List of positive integer factors of 1296 that divides 1296 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648, 1296

Least Common Multiple of 1289 and 1296 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 1296, than apply into the LCM equation.

GCF(1289,1296) = 1
LCM(1289,1296) = ( 1289 × 1296) / 1
LCM(1289,1296) = 1670544 / 1
LCM(1289,1296) = 1670544

Properties of LCM 1289 and 1296

(i) The LCM of 1296 and 1289 is associative

LCM of 1289 and 1296 = LCM of 1296 and 1289

Related Least Common Multiples of 1289

Related Least Common Multiples of 1296

Frequently Asked Questions on LCM of 1289 and 1296

1. What is the LCM of 1289 and 1296?

Answer: LCM of 1289 and 1296 is 1670544.

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 1296?

Answer: Factors of 1296 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 324, 432, 648, 1296. There are 25 integers that are factors of 1296. The greatest factor of 1296 is 1296.

4. How to Find the LCM of 1289 and 1296?

Answer:

Least Common Multiple of 1289 and 1296 = 1670544

Step 1: Find the prime factorization of 1289

1289 = 1289

Step 2: Find the prime factorization of 1296

1296 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3

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

LCM = 1670544 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 1289

Step 4: Therefore, the least common multiple of 1289 and 1296 is 1670544.