Least Common Multiple of 282 and 286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 282 and 286 the smallest integer that is 40326 that is divisible by both numbers.

Least Common Multiple (LCM) of 282 and 286 is 40326.

LCM(282,286) = 40326

LCM of 282 and 286

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

LCM of:
and

Least Common Multiple of 282 and 286

LCM of 282 and 286 is 40326

Least common multiple can be found by multiplying the highest exponent prime factors of 282 and 286. First we will calculate the prime factors of 282 and 286.

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

Prime Factorization of 286


2 286
11 143
13 13
1

Prime factors of 286 are 2, 11,13. Prime factorization of 286 in exponential form is:

286 = 21×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 282 and 286.

LCM(282,286) = 21×31×111×131×471
LCM(282,286) = 40326

Factors of 282

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

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

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286

Least Common Multiple of 282 and 286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 282 and 286, than apply into the LCM equation.

GCF(282,286) = 2
LCM(282,286) = ( 282 × 286) / 2
LCM(282,286) = 80652 / 2
LCM(282,286) = 40326

Properties of LCM 282 and 286

(i) The LCM of 286 and 282 is associative

LCM of 282 and 286 = LCM of 286 and 282

Related Least Common Multiples of 282

Related Least Common Multiples of 286

Frequently Asked Questions on LCM of 282 and 286

1. What is the LCM of 282 and 286?

Answer: LCM of 282 and 286 is 40326.

2. 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.

3. What are the Factors of 286?

Answer: Factors of 286 are 1, 2, 11, 13, 22, 26, 143, 286. There are 8 integers that are factors of 286. The greatest factor of 286 is 286.

4. How to Find the LCM of 282 and 286?

Answer:

Least Common Multiple of 282 and 286 = 40326

Step 1: Find the prime factorization of 282

282 = 2 x 3 x 47

Step 2: Find the prime factorization of 286

286 = 2 x 11 x 13

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

LCM = 40326 = 2 x 3 x 11 x 13 x 47

Step 4: Therefore, the least common multiple of 282 and 286 is 40326.