Least Common Multiple of 288 and 291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 288 and 291 the smallest integer that is 27936 that is divisible by both numbers.

Least Common Multiple (LCM) of 288 and 291 is 27936.

LCM(288,291) = 27936

LCM of 288 and 291

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

LCM of:
and

Least Common Multiple of 288 and 291

LCM of 288 and 291 is 27936

Least common multiple can be found by multiplying the highest exponent prime factors of 288 and 291. First we will calculate the prime factors of 288 and 291.

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

Prime Factorization of 291


3 291
97 97
1

Prime factors of 291 are 3,97. Prime factorization of 291 in exponential form is:

291 = 31×971

Now multiplying the highest exponent prime factors to calculate the LCM of 288 and 291.

LCM(288,291) = 25×32×971
LCM(288,291) = 27936

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

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Least Common Multiple of 288 and 291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 288 and 291, than apply into the LCM equation.

GCF(288,291) = 3
LCM(288,291) = ( 288 × 291) / 3
LCM(288,291) = 83808 / 3
LCM(288,291) = 27936

Properties of LCM 288 and 291

(i) The LCM of 291 and 288 is associative

LCM of 288 and 291 = LCM of 291 and 288

Related Least Common Multiples of 288

Related Least Common Multiples of 291

Frequently Asked Questions on LCM of 288 and 291

1. What is the LCM of 288 and 291?

Answer: LCM of 288 and 291 is 27936.

2. 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.

3. What are the Factors of 291?

Answer: Factors of 291 are 1, 3, 97, 291. There are 4 integers that are factors of 291. The greatest factor of 291 is 291.

4. How to Find the LCM of 288 and 291?

Answer:

Least Common Multiple of 288 and 291 = 27936

Step 1: Find the prime factorization of 288

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

Step 2: Find the prime factorization of 291

291 = 3 x 97

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

LCM = 27936 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 97

Step 4: Therefore, the least common multiple of 288 and 291 is 27936.