Least Common Multiple of 1283 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 1283 and 1287 the smallest integer that is 1651221 that is divisible by both numbers.

Least Common Multiple (LCM) of 1283 and 1287 is 1651221.

LCM(1283,1287) = 1651221

LCM of 1283 and 1287

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

LCM of:
and

Least Common Multiple of 1283 and 1287

LCM of 1283 and 1287 is 1651221

Least common multiple can be found by multiplying the highest exponent prime factors of 1283 and 1287. First we will calculate the prime factors of 1283 and 1287.

Prime Factorization of 1283


1283 1283
1

Prime factors of 1283 are 1283. Prime factorization of 1283 in exponential form is:

1283 = 12831

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 1283 and 1287.

LCM(1283,1287) = 32×111×131×12831
LCM(1283,1287) = 1651221

Factors of 1283

List of positive integer factors of 1283 that divides 1283 without a remainder.

1, 1283

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 1283 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 1283 and 1287, than apply into the LCM equation.

GCF(1283,1287) = 1
LCM(1283,1287) = ( 1283 × 1287) / 1
LCM(1283,1287) = 1651221 / 1
LCM(1283,1287) = 1651221

Properties of LCM 1283 and 1287

(i) The LCM of 1287 and 1283 is associative

LCM of 1283 and 1287 = LCM of 1287 and 1283

Related Least Common Multiples of 1283

Related Least Common Multiples of 1287

Frequently Asked Questions on LCM of 1283 and 1287

1. What is the LCM of 1283 and 1287?

Answer: LCM of 1283 and 1287 is 1651221.

2. What are the Factors of 1283?

Answer: Factors of 1283 are 1, 1283. There are 2 integers that are factors of 1283. The greatest factor of 1283 is 1283.

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 1283 and 1287?

Answer:

Least Common Multiple of 1283 and 1287 = 1651221

Step 1: Find the prime factorization of 1283

1283 = 1283

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 = 1651221 = 3 x 3 x 11 x 13 x 1283

Step 4: Therefore, the least common multiple of 1283 and 1287 is 1651221.