Least Common Multiple of 7288 and 7293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7288 and 7293 the smallest integer that is 53151384 that is divisible by both numbers.

Least Common Multiple (LCM) of 7288 and 7293 is 53151384.

LCM(7288,7293) = 53151384

LCM of 7288 and 7293

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

LCM of:
and

Least Common Multiple of 7288 and 7293

LCM of 7288 and 7293 is 53151384

Least common multiple can be found by multiplying the highest exponent prime factors of 7288 and 7293. First we will calculate the prime factors of 7288 and 7293.

Prime Factorization of 7288


2 7288
2 3644
2 1822
911 911
1

Prime factors of 7288 are 2,911. Prime factorization of 7288 in exponential form is:

7288 = 23×9111

Prime Factorization of 7293


3 7293
11 2431
13 221
17 17
1

Prime factors of 7293 are 3, 11, 13,17. Prime factorization of 7293 in exponential form is:

7293 = 31×111×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 7288 and 7293.

LCM(7288,7293) = 23×31×111×131×171×9111
LCM(7288,7293) = 53151384

Factors of 7288

List of positive integer factors of 7288 that divides 7288 without a remainder.

1, 2, 4, 8, 911, 1822, 3644, 7288

Factors of 7293

List of positive integer factors of 7293 that divides 7293 without a remainder.

1, 3, 11, 13, 17, 33, 39, 51, 143, 187, 221, 429, 561, 663, 2431, 7293

Least Common Multiple of 7288 and 7293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7288 and 7293, than apply into the LCM equation.

GCF(7288,7293) = 1
LCM(7288,7293) = ( 7288 × 7293) / 1
LCM(7288,7293) = 53151384 / 1
LCM(7288,7293) = 53151384

Properties of LCM 7288 and 7293

(i) The LCM of 7293 and 7288 is associative

LCM of 7288 and 7293 = LCM of 7293 and 7288

Related Least Common Multiples of 7288

Related Least Common Multiples of 7293

Frequently Asked Questions on LCM of 7288 and 7293

1. What is the LCM of 7288 and 7293?

Answer: LCM of 7288 and 7293 is 53151384.

2. What are the Factors of 7288?

Answer: Factors of 7288 are 1, 2, 4, 8, 911, 1822, 3644, 7288. There are 8 integers that are factors of 7288. The greatest factor of 7288 is 7288.

3. What are the Factors of 7293?

Answer: Factors of 7293 are 1, 3, 11, 13, 17, 33, 39, 51, 143, 187, 221, 429, 561, 663, 2431, 7293. There are 16 integers that are factors of 7293. The greatest factor of 7293 is 7293.

4. How to Find the LCM of 7288 and 7293?

Answer:

Least Common Multiple of 7288 and 7293 = 53151384

Step 1: Find the prime factorization of 7288

7288 = 2 x 2 x 2 x 911

Step 2: Find the prime factorization of 7293

7293 = 3 x 11 x 13 x 17

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

LCM = 53151384 = 2 x 2 x 2 x 3 x 11 x 13 x 17 x 911

Step 4: Therefore, the least common multiple of 7288 and 7293 is 53151384.