Least Common Multiple of 1282 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 1282 and 1289 the smallest integer that is 1652498 that is divisible by both numbers.

Least Common Multiple (LCM) of 1282 and 1289 is 1652498.

LCM(1282,1289) = 1652498

LCM of 1282 and 1289

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

LCM of:
and

Least Common Multiple of 1282 and 1289

LCM of 1282 and 1289 is 1652498

Least common multiple can be found by multiplying the highest exponent prime factors of 1282 and 1289. First we will calculate the prime factors of 1282 and 1289.

Prime Factorization of 1282


2 1282
641 641
1

Prime factors of 1282 are 2,641. Prime factorization of 1282 in exponential form is:

1282 = 21×6411

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 1282 and 1289.

LCM(1282,1289) = 21×6411×12891
LCM(1282,1289) = 1652498

Factors of 1282

List of positive integer factors of 1282 that divides 1282 without a remainder.

1, 2, 641, 1282

Factors of 1289

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

1, 1289

Least Common Multiple of 1282 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 1282 and 1289, than apply into the LCM equation.

GCF(1282,1289) = 1
LCM(1282,1289) = ( 1282 × 1289) / 1
LCM(1282,1289) = 1652498 / 1
LCM(1282,1289) = 1652498

Properties of LCM 1282 and 1289

(i) The LCM of 1289 and 1282 is associative

LCM of 1282 and 1289 = LCM of 1289 and 1282

Related Least Common Multiples of 1282

Related Least Common Multiples of 1289

Frequently Asked Questions on LCM of 1282 and 1289

1. What is the LCM of 1282 and 1289?

Answer: LCM of 1282 and 1289 is 1652498.

2. What are the Factors of 1282?

Answer: Factors of 1282 are 1, 2, 641, 1282. There are 4 integers that are factors of 1282. The greatest factor of 1282 is 1282.

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 1282 and 1289?

Answer:

Least Common Multiple of 1282 and 1289 = 1652498

Step 1: Find the prime factorization of 1282

1282 = 2 x 641

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 = 1652498 = 2 x 641 x 1289

Step 4: Therefore, the least common multiple of 1282 and 1289 is 1652498.