Least Common Multiple of 284 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 284 and 286 the smallest integer that is 40612 that is divisible by both numbers.

Least Common Multiple (LCM) of 284 and 286 is 40612.

LCM(284,286) = 40612

LCM of 284 and 286

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

LCM of:
and

Least Common Multiple of 284 and 286

LCM of 284 and 286 is 40612

Least common multiple can be found by multiplying the highest exponent prime factors of 284 and 286. First we will calculate the prime factors of 284 and 286.

Prime Factorization of 284


2 284
2 142
71 71
1

Prime factors of 284 are 2,71. Prime factorization of 284 in exponential form is:

284 = 22×711

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 284 and 286.

LCM(284,286) = 22×111×131×711
LCM(284,286) = 40612

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

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 284 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 284 and 286, than apply into the LCM equation.

GCF(284,286) = 2
LCM(284,286) = ( 284 × 286) / 2
LCM(284,286) = 81224 / 2
LCM(284,286) = 40612

Properties of LCM 284 and 286

(i) The LCM of 286 and 284 is associative

LCM of 284 and 286 = LCM of 286 and 284

Related Least Common Multiples of 284

Related Least Common Multiples of 286

Frequently Asked Questions on LCM of 284 and 286

1. What is the LCM of 284 and 286?

Answer: LCM of 284 and 286 is 40612.

2. What are the Factors of 284?

Answer: Factors of 284 are 1, 2, 4, 71, 142, 284. There are 6 integers that are factors of 284. The greatest factor of 284 is 284.

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 284 and 286?

Answer:

Least Common Multiple of 284 and 286 = 40612

Step 1: Find the prime factorization of 284

284 = 2 x 2 x 71

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 = 40612 = 2 x 2 x 11 x 13 x 71

Step 4: Therefore, the least common multiple of 284 and 286 is 40612.