Least Common Multiple of 283 and 287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 283 and 287 the smallest integer that is 81221 that is divisible by both numbers.

Least Common Multiple (LCM) of 283 and 287 is 81221.

LCM(283,287) = 81221

LCM of 283 and 287

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

LCM of:
and

Least Common Multiple of 283 and 287

LCM of 283 and 287 is 81221

Least common multiple can be found by multiplying the highest exponent prime factors of 283 and 287. First we will calculate the prime factors of 283 and 287.

Prime Factorization of 283


283 283
1

Prime factors of 283 are 283. Prime factorization of 283 in exponential form is:

283 = 2831

Prime Factorization of 287


7 287
41 41
1

Prime factors of 287 are 7,41. Prime factorization of 287 in exponential form is:

287 = 71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 283 and 287.

LCM(283,287) = 71×411×2831
LCM(283,287) = 81221

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1, 283

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Least Common Multiple of 283 and 287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 283 and 287, than apply into the LCM equation.

GCF(283,287) = 1
LCM(283,287) = ( 283 × 287) / 1
LCM(283,287) = 81221 / 1
LCM(283,287) = 81221

Properties of LCM 283 and 287

(i) The LCM of 287 and 283 is associative

LCM of 283 and 287 = LCM of 287 and 283

Related Least Common Multiples of 283

Related Least Common Multiples of 287

Frequently Asked Questions on LCM of 283 and 287

1. What is the LCM of 283 and 287?

Answer: LCM of 283 and 287 is 81221.

2. What are the Factors of 283?

Answer: Factors of 283 are 1, 283. There are 2 integers that are factors of 283. The greatest factor of 283 is 283.

3. What are the Factors of 287?

Answer: Factors of 287 are 1, 7, 41, 287. There are 4 integers that are factors of 287. The greatest factor of 287 is 287.

4. How to Find the LCM of 283 and 287?

Answer:

Least Common Multiple of 283 and 287 = 81221

Step 1: Find the prime factorization of 283

283 = 283

Step 2: Find the prime factorization of 287

287 = 7 x 41

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

LCM = 81221 = 7 x 41 x 283

Step 4: Therefore, the least common multiple of 283 and 287 is 81221.