Least Common Multiple of 1283 and 1284

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 1284 the smallest integer that is 1647372 that is divisible by both numbers.

Least Common Multiple (LCM) of 1283 and 1284 is 1647372.

LCM(1283,1284) = 1647372

LCM of 1283 and 1284

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

LCM of:
and

Least Common Multiple of 1283 and 1284

LCM of 1283 and 1284 is 1647372

Least common multiple can be found by multiplying the highest exponent prime factors of 1283 and 1284. First we will calculate the prime factors of 1283 and 1284.

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 1284


2 1284
2 642
3 321
107 107
1

Prime factors of 1284 are 2, 3,107. Prime factorization of 1284 in exponential form is:

1284 = 22×31×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 1283 and 1284.

LCM(1283,1284) = 22×31×1071×12831
LCM(1283,1284) = 1647372

Factors of 1283

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

1, 1283

Factors of 1284

List of positive integer factors of 1284 that divides 1284 without a remainder.

1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284

Least Common Multiple of 1283 and 1284 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 1284, than apply into the LCM equation.

GCF(1283,1284) = 1
LCM(1283,1284) = ( 1283 × 1284) / 1
LCM(1283,1284) = 1647372 / 1
LCM(1283,1284) = 1647372

Properties of LCM 1283 and 1284

(i) The LCM of 1284 and 1283 is associative

LCM of 1283 and 1284 = LCM of 1284 and 1283

Related Least Common Multiples of 1283

Related Least Common Multiples of 1284

Frequently Asked Questions on LCM of 1283 and 1284

1. What is the LCM of 1283 and 1284?

Answer: LCM of 1283 and 1284 is 1647372.

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 1284?

Answer: Factors of 1284 are 1, 2, 3, 4, 6, 12, 107, 214, 321, 428, 642, 1284. There are 12 integers that are factors of 1284. The greatest factor of 1284 is 1284.

4. How to Find the LCM of 1283 and 1284?

Answer:

Least Common Multiple of 1283 and 1284 = 1647372

Step 1: Find the prime factorization of 1283

1283 = 1283

Step 2: Find the prime factorization of 1284

1284 = 2 x 2 x 3 x 107

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

LCM = 1647372 = 2 x 2 x 3 x 107 x 1283

Step 4: Therefore, the least common multiple of 1283 and 1284 is 1647372.