Least Common Multiple of 288 and 295

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 295 the smallest integer that is 84960 that is divisible by both numbers.

Least Common Multiple (LCM) of 288 and 295 is 84960.

LCM(288,295) = 84960

LCM of 288 and 295

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

LCM of:
and

Least Common Multiple of 288 and 295

LCM of 288 and 295 is 84960

Least common multiple can be found by multiplying the highest exponent prime factors of 288 and 295. First we will calculate the prime factors of 288 and 295.

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 295


5 295
59 59
1

Prime factors of 295 are 5,59. Prime factorization of 295 in exponential form is:

295 = 51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 288 and 295.

LCM(288,295) = 25×32×51×591
LCM(288,295) = 84960

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 295

List of positive integer factors of 295 that divides 295 without a remainder.

1, 5, 59, 295

Least Common Multiple of 288 and 295 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 295, than apply into the LCM equation.

GCF(288,295) = 1
LCM(288,295) = ( 288 × 295) / 1
LCM(288,295) = 84960 / 1
LCM(288,295) = 84960

Properties of LCM 288 and 295

(i) The LCM of 295 and 288 is associative

LCM of 288 and 295 = LCM of 295 and 288

Related Least Common Multiples of 288

Related Least Common Multiples of 295

Frequently Asked Questions on LCM of 288 and 295

1. What is the LCM of 288 and 295?

Answer: LCM of 288 and 295 is 84960.

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 295?

Answer: Factors of 295 are 1, 5, 59, 295. There are 4 integers that are factors of 295. The greatest factor of 295 is 295.

4. How to Find the LCM of 288 and 295?

Answer:

Least Common Multiple of 288 and 295 = 84960

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 295

295 = 5 x 59

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

LCM = 84960 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 59

Step 4: Therefore, the least common multiple of 288 and 295 is 84960.