Least Common Multiple of 281 and 282

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 282 the smallest integer that is 79242 that is divisible by both numbers.

Least Common Multiple (LCM) of 281 and 282 is 79242.

LCM(281,282) = 79242

LCM of 281 and 282

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

LCM of:
and

Least Common Multiple of 281 and 282

LCM of 281 and 282 is 79242

Least common multiple can be found by multiplying the highest exponent prime factors of 281 and 282. First we will calculate the prime factors of 281 and 282.

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 282


2 282
3 141
47 47
1

Prime factors of 282 are 2, 3,47. Prime factorization of 282 in exponential form is:

282 = 21×31×471

Now multiplying the highest exponent prime factors to calculate the LCM of 281 and 282.

LCM(281,282) = 21×31×471×2811
LCM(281,282) = 79242

Factors of 281

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

1, 281

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1, 2, 3, 6, 47, 94, 141, 282

Least Common Multiple of 281 and 282 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 282, than apply into the LCM equation.

GCF(281,282) = 1
LCM(281,282) = ( 281 × 282) / 1
LCM(281,282) = 79242 / 1
LCM(281,282) = 79242

Properties of LCM 281 and 282

(i) The LCM of 282 and 281 is associative

LCM of 281 and 282 = LCM of 282 and 281

Related Least Common Multiples of 281

Related Least Common Multiples of 282

Frequently Asked Questions on LCM of 281 and 282

1. What is the LCM of 281 and 282?

Answer: LCM of 281 and 282 is 79242.

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 282?

Answer: Factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282. There are 8 integers that are factors of 282. The greatest factor of 282 is 282.

4. How to Find the LCM of 281 and 282?

Answer:

Least Common Multiple of 281 and 282 = 79242

Step 1: Find the prime factorization of 281

281 = 281

Step 2: Find the prime factorization of 282

282 = 2 x 3 x 47

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

LCM = 79242 = 2 x 3 x 47 x 281

Step 4: Therefore, the least common multiple of 281 and 282 is 79242.