Least Common Multiple of 1281 and 1287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1281 and 1287 the smallest integer that is 549549 that is divisible by both numbers.

Least Common Multiple (LCM) of 1281 and 1287 is 549549.

LCM(1281,1287) = 549549

LCM of 1281 and 1287

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

LCM of:
and

Least Common Multiple of 1281 and 1287

LCM of 1281 and 1287 is 549549

Least common multiple can be found by multiplying the highest exponent prime factors of 1281 and 1287. First we will calculate the prime factors of 1281 and 1287.

Prime Factorization of 1281


3 1281
7 427
61 61
1

Prime factors of 1281 are 3, 7,61. Prime factorization of 1281 in exponential form is:

1281 = 31×71×611

Prime Factorization of 1287


3 1287
3 429
11 143
13 13
1

Prime factors of 1287 are 3, 11,13. Prime factorization of 1287 in exponential form is:

1287 = 32×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1281 and 1287.

LCM(1281,1287) = 32×71×111×131×611
LCM(1281,1287) = 549549

Factors of 1281

List of positive integer factors of 1281 that divides 1281 without a remainder.

1, 3, 7, 21, 61, 183, 427, 1281

Factors of 1287

List of positive integer factors of 1287 that divides 1287 without a remainder.

1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287

Least Common Multiple of 1281 and 1287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1281 and 1287, than apply into the LCM equation.

GCF(1281,1287) = 3
LCM(1281,1287) = ( 1281 × 1287) / 3
LCM(1281,1287) = 1648647 / 3
LCM(1281,1287) = 549549

Properties of LCM 1281 and 1287

(i) The LCM of 1287 and 1281 is associative

LCM of 1281 and 1287 = LCM of 1287 and 1281

Related Least Common Multiples of 1281

Related Least Common Multiples of 1287

Frequently Asked Questions on LCM of 1281 and 1287

1. What is the LCM of 1281 and 1287?

Answer: LCM of 1281 and 1287 is 549549.

2. What are the Factors of 1281?

Answer: Factors of 1281 are 1, 3, 7, 21, 61, 183, 427, 1281. There are 8 integers that are factors of 1281. The greatest factor of 1281 is 1281.

3. What are the Factors of 1287?

Answer: Factors of 1287 are 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 429, 1287. There are 12 integers that are factors of 1287. The greatest factor of 1287 is 1287.

4. How to Find the LCM of 1281 and 1287?

Answer:

Least Common Multiple of 1281 and 1287 = 549549

Step 1: Find the prime factorization of 1281

1281 = 3 x 7 x 61

Step 2: Find the prime factorization of 1287

1287 = 3 x 3 x 11 x 13

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

LCM = 549549 = 3 x 3 x 7 x 11 x 13 x 61

Step 4: Therefore, the least common multiple of 1281 and 1287 is 549549.