Least Common Multiple of 281 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 281 and 287 the smallest integer that is 80647 that is divisible by both numbers.

Least Common Multiple (LCM) of 281 and 287 is 80647.

LCM(281,287) = 80647

LCM of 281 and 287

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

LCM of:
and

Least Common Multiple of 281 and 287

LCM of 281 and 287 is 80647

Least common multiple can be found by multiplying the highest exponent prime factors of 281 and 287. First we will calculate the prime factors of 281 and 287.

Prime Factorization of 281


281 281
1

Prime factors of 281 are 281. Prime factorization of 281 in exponential form is:

281 = 2811

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 281 and 287.

LCM(281,287) = 71×411×2811
LCM(281,287) = 80647

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1, 281

Factors of 287

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

1, 7, 41, 287

Least Common Multiple of 281 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 281 and 287, than apply into the LCM equation.

GCF(281,287) = 1
LCM(281,287) = ( 281 × 287) / 1
LCM(281,287) = 80647 / 1
LCM(281,287) = 80647

Properties of LCM 281 and 287

(i) The LCM of 287 and 281 is associative

LCM of 281 and 287 = LCM of 287 and 281

Related Least Common Multiples of 281

Related Least Common Multiples of 287

Frequently Asked Questions on LCM of 281 and 287

1. What is the LCM of 281 and 287?

Answer: LCM of 281 and 287 is 80647.

2. What are the Factors of 281?

Answer: Factors of 281 are 1, 281. There are 2 integers that are factors of 281. The greatest factor of 281 is 281.

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 281 and 287?

Answer:

Least Common Multiple of 281 and 287 = 80647

Step 1: Find the prime factorization of 281

281 = 281

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 = 80647 = 7 x 41 x 281

Step 4: Therefore, the least common multiple of 281 and 287 is 80647.