Least Common Multiple of 281 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 281 and 288 the smallest integer that is 80928 that is divisible by both numbers.

Least Common Multiple (LCM) of 281 and 288 is 80928.

LCM(281,288) = 80928

LCM of 281 and 288

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

LCM of:
and

Least Common Multiple of 281 and 288

LCM of 281 and 288 is 80928

Least common multiple can be found by multiplying the highest exponent prime factors of 281 and 288. First we will calculate the prime factors of 281 and 288.

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 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 281 and 288.

LCM(281,288) = 25×32×2811
LCM(281,288) = 80928

Factors of 281

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

1, 281

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 281 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 281 and 288, than apply into the LCM equation.

GCF(281,288) = 1
LCM(281,288) = ( 281 × 288) / 1
LCM(281,288) = 80928 / 1
LCM(281,288) = 80928

Properties of LCM 281 and 288

(i) The LCM of 288 and 281 is associative

LCM of 281 and 288 = LCM of 288 and 281

Related Least Common Multiples of 281

Related Least Common Multiples of 288

Frequently Asked Questions on LCM of 281 and 288

1. What is the LCM of 281 and 288?

Answer: LCM of 281 and 288 is 80928.

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 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 281 and 288?

Answer:

Least Common Multiple of 281 and 288 = 80928

Step 1: Find the prime factorization of 281

281 = 281

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 = 80928 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 281

Step 4: Therefore, the least common multiple of 281 and 288 is 80928.