Least Common Multiple of 1283 and 1288

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 1288 the smallest integer that is 1652504 that is divisible by both numbers.

Least Common Multiple (LCM) of 1283 and 1288 is 1652504.

LCM(1283,1288) = 1652504

LCM of 1283 and 1288

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

LCM of:
and

Least Common Multiple of 1283 and 1288

LCM of 1283 and 1288 is 1652504

Least common multiple can be found by multiplying the highest exponent prime factors of 1283 and 1288. First we will calculate the prime factors of 1283 and 1288.

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 1288


2 1288
2 644
2 322
7 161
23 23
1

Prime factors of 1288 are 2, 7,23. Prime factorization of 1288 in exponential form is:

1288 = 23×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1283 and 1288.

LCM(1283,1288) = 23×71×231×12831
LCM(1283,1288) = 1652504

Factors of 1283

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

1, 1283

Factors of 1288

List of positive integer factors of 1288 that divides 1288 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644, 1288

Least Common Multiple of 1283 and 1288 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 1288, than apply into the LCM equation.

GCF(1283,1288) = 1
LCM(1283,1288) = ( 1283 × 1288) / 1
LCM(1283,1288) = 1652504 / 1
LCM(1283,1288) = 1652504

Properties of LCM 1283 and 1288

(i) The LCM of 1288 and 1283 is associative

LCM of 1283 and 1288 = LCM of 1288 and 1283

Related Least Common Multiples of 1283

Related Least Common Multiples of 1288

Frequently Asked Questions on LCM of 1283 and 1288

1. What is the LCM of 1283 and 1288?

Answer: LCM of 1283 and 1288 is 1652504.

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 1288?

Answer: Factors of 1288 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644, 1288. There are 16 integers that are factors of 1288. The greatest factor of 1288 is 1288.

4. How to Find the LCM of 1283 and 1288?

Answer:

Least Common Multiple of 1283 and 1288 = 1652504

Step 1: Find the prime factorization of 1283

1283 = 1283

Step 2: Find the prime factorization of 1288

1288 = 2 x 2 x 2 x 7 x 23

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

LCM = 1652504 = 2 x 2 x 2 x 7 x 23 x 1283

Step 4: Therefore, the least common multiple of 1283 and 1288 is 1652504.