Least Common Multiple of 283 and 288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 283 and 288 the smallest integer that is 81504 that is divisible by both numbers.

Least Common Multiple (LCM) of 283 and 288 is 81504.

LCM(283,288) = 81504

LCM of 283 and 288

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

LCM of:
and

Least Common Multiple of 283 and 288

LCM of 283 and 288 is 81504

Least common multiple can be found by multiplying the highest exponent prime factors of 283 and 288. First we will calculate the prime factors of 283 and 288.

Prime Factorization of 283


283 283
1

Prime factors of 283 are 283. Prime factorization of 283 in exponential form is:

283 = 2831

Prime Factorization of 288


2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 288 are 2,3. Prime factorization of 288 in exponential form is:

288 = 25×32

Now multiplying the highest exponent prime factors to calculate the LCM of 283 and 288.

LCM(283,288) = 25×32×2831
LCM(283,288) = 81504

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1, 283

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Least Common Multiple of 283 and 288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 283 and 288, than apply into the LCM equation.

GCF(283,288) = 1
LCM(283,288) = ( 283 × 288) / 1
LCM(283,288) = 81504 / 1
LCM(283,288) = 81504

Properties of LCM 283 and 288

(i) The LCM of 288 and 283 is associative

LCM of 283 and 288 = LCM of 288 and 283

Related Least Common Multiples of 283

Related Least Common Multiples of 288

Frequently Asked Questions on LCM of 283 and 288

1. What is the LCM of 283 and 288?

Answer: LCM of 283 and 288 is 81504.

2. What are the Factors of 283?

Answer: Factors of 283 are 1, 283. There are 2 integers that are factors of 283. The greatest factor of 283 is 283.

3. What are the Factors of 288?

Answer: Factors of 288 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288. There are 18 integers that are factors of 288. The greatest factor of 288 is 288.

4. How to Find the LCM of 283 and 288?

Answer:

Least Common Multiple of 283 and 288 = 81504

Step 1: Find the prime factorization of 283

283 = 283

Step 2: Find the prime factorization of 288

288 = 2 x 2 x 2 x 2 x 2 x 3 x 3

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

LCM = 81504 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 283

Step 4: Therefore, the least common multiple of 283 and 288 is 81504.