Least Common Multiple of 1283 and 1289

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 1289 the smallest integer that is 1653787 that is divisible by both numbers.

Least Common Multiple (LCM) of 1283 and 1289 is 1653787.

LCM(1283,1289) = 1653787

LCM of 1283 and 1289

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

LCM of:
and

Least Common Multiple of 1283 and 1289

LCM of 1283 and 1289 is 1653787

Least common multiple can be found by multiplying the highest exponent prime factors of 1283 and 1289. First we will calculate the prime factors of 1283 and 1289.

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 1289


1289 1289
1

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

1289 = 12891

Now multiplying the highest exponent prime factors to calculate the LCM of 1283 and 1289.

LCM(1283,1289) = 12831×12891
LCM(1283,1289) = 1653787

Factors of 1283

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

1, 1283

Factors of 1289

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

1, 1289

Least Common Multiple of 1283 and 1289 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 1289, than apply into the LCM equation.

GCF(1283,1289) = 1
LCM(1283,1289) = ( 1283 × 1289) / 1
LCM(1283,1289) = 1653787 / 1
LCM(1283,1289) = 1653787

Properties of LCM 1283 and 1289

(i) The LCM of 1289 and 1283 is associative

LCM of 1283 and 1289 = LCM of 1289 and 1283

Related Least Common Multiples of 1283

Related Least Common Multiples of 1289

Frequently Asked Questions on LCM of 1283 and 1289

1. What is the LCM of 1283 and 1289?

Answer: LCM of 1283 and 1289 is 1653787.

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 1289?

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

4. How to Find the LCM of 1283 and 1289?

Answer:

Least Common Multiple of 1283 and 1289 = 1653787

Step 1: Find the prime factorization of 1283

1283 = 1283

Step 2: Find the prime factorization of 1289

1289 = 1289

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

LCM = 1653787 = 1283 x 1289

Step 4: Therefore, the least common multiple of 1283 and 1289 is 1653787.