Least Common Multiple of 282 and 284

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 284 the smallest integer that is 40044 that is divisible by both numbers.

Least Common Multiple (LCM) of 282 and 284 is 40044.

LCM(282,284) = 40044

LCM of 282 and 284

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

LCM of:
and

Least Common Multiple of 282 and 284

LCM of 282 and 284 is 40044

Least common multiple can be found by multiplying the highest exponent prime factors of 282 and 284. First we will calculate the prime factors of 282 and 284.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 282 and 284.

LCM(282,284) = 22×31×471×711
LCM(282,284) = 40044

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 284

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

1, 2, 4, 71, 142, 284

Least Common Multiple of 282 and 284 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 284, than apply into the LCM equation.

GCF(282,284) = 2
LCM(282,284) = ( 282 × 284) / 2
LCM(282,284) = 80088 / 2
LCM(282,284) = 40044

Properties of LCM 282 and 284

(i) The LCM of 284 and 282 is associative

LCM of 282 and 284 = LCM of 284 and 282

Related Least Common Multiples of 282

Related Least Common Multiples of 284

Frequently Asked Questions on LCM of 282 and 284

1. What is the LCM of 282 and 284?

Answer: LCM of 282 and 284 is 40044.

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 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.

4. How to Find the LCM of 282 and 284?

Answer:

Least Common Multiple of 282 and 284 = 40044

Step 1: Find the prime factorization of 282

282 = 2 x 3 x 47

Step 2: Find the prime factorization of 284

284 = 2 x 2 x 71

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

LCM = 40044 = 2 x 2 x 3 x 47 x 71

Step 4: Therefore, the least common multiple of 282 and 284 is 40044.