Least Common Multiple of 8288 and 8295

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8288 and 8295 the smallest integer that is 9821280 that is divisible by both numbers.

Least Common Multiple (LCM) of 8288 and 8295 is 9821280.

LCM(8288,8295) = 9821280

LCM of 8288 and 8295

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

LCM of:
and

Least Common Multiple of 8288 and 8295

LCM of 8288 and 8295 is 9821280

Least common multiple can be found by multiplying the highest exponent prime factors of 8288 and 8295. First we will calculate the prime factors of 8288 and 8295.

Prime Factorization of 8288


2 8288
2 4144
2 2072
2 1036
2 518
7 259
37 37
1

Prime factors of 8288 are 2, 7,37. Prime factorization of 8288 in exponential form is:

8288 = 25×71×371

Prime Factorization of 8295


3 8295
5 2765
7 553
79 79
1

Prime factors of 8295 are 3, 5, 7,79. Prime factorization of 8295 in exponential form is:

8295 = 31×51×71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 8288 and 8295.

LCM(8288,8295) = 25×31×51×71×371×791
LCM(8288,8295) = 9821280

Factors of 8288

List of positive integer factors of 8288 that divides 8288 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 74, 112, 148, 224, 259, 296, 518, 592, 1036, 1184, 2072, 4144, 8288

Factors of 8295

List of positive integer factors of 8295 that divides 8295 without a remainder.

1, 3, 5, 7, 15, 21, 35, 79, 105, 237, 395, 553, 1185, 1659, 2765, 8295

Least Common Multiple of 8288 and 8295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8288 and 8295, than apply into the LCM equation.

GCF(8288,8295) = 7
LCM(8288,8295) = ( 8288 × 8295) / 7
LCM(8288,8295) = 68748960 / 7
LCM(8288,8295) = 9821280

Properties of LCM 8288 and 8295

(i) The LCM of 8295 and 8288 is associative

LCM of 8288 and 8295 = LCM of 8295 and 8288

Related Least Common Multiples of 8288

Related Least Common Multiples of 8295

Frequently Asked Questions on LCM of 8288 and 8295

1. What is the LCM of 8288 and 8295?

Answer: LCM of 8288 and 8295 is 9821280.

2. What are the Factors of 8288?

Answer: Factors of 8288 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 37, 56, 74, 112, 148, 224, 259, 296, 518, 592, 1036, 1184, 2072, 4144, 8288. There are 24 integers that are factors of 8288. The greatest factor of 8288 is 8288.

3. What are the Factors of 8295?

Answer: Factors of 8295 are 1, 3, 5, 7, 15, 21, 35, 79, 105, 237, 395, 553, 1185, 1659, 2765, 8295. There are 16 integers that are factors of 8295. The greatest factor of 8295 is 8295.

4. How to Find the LCM of 8288 and 8295?

Answer:

Least Common Multiple of 8288 and 8295 = 9821280

Step 1: Find the prime factorization of 8288

8288 = 2 x 2 x 2 x 2 x 2 x 7 x 37

Step 2: Find the prime factorization of 8295

8295 = 3 x 5 x 7 x 79

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

LCM = 9821280 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 37 x 79

Step 4: Therefore, the least common multiple of 8288 and 8295 is 9821280.