Least Common Multiple of 7288 and 7295

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 7295 the smallest integer that is 53165960 that is divisible by both numbers.

Least Common Multiple (LCM) of 7288 and 7295 is 53165960.

LCM(7288,7295) = 53165960

LCM of 7288 and 7295

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

LCM of:
and

Least Common Multiple of 7288 and 7295

LCM of 7288 and 7295 is 53165960

Least common multiple can be found by multiplying the highest exponent prime factors of 7288 and 7295. First we will calculate the prime factors of 7288 and 7295.

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 7295


5 7295
1459 1459
1

Prime factors of 7295 are 5,1459. Prime factorization of 7295 in exponential form is:

7295 = 51×14591

Now multiplying the highest exponent prime factors to calculate the LCM of 7288 and 7295.

LCM(7288,7295) = 23×51×9111×14591
LCM(7288,7295) = 53165960

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 7295

List of positive integer factors of 7295 that divides 7295 without a remainder.

1, 5, 1459, 7295

Least Common Multiple of 7288 and 7295 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 7295, than apply into the LCM equation.

GCF(7288,7295) = 1
LCM(7288,7295) = ( 7288 × 7295) / 1
LCM(7288,7295) = 53165960 / 1
LCM(7288,7295) = 53165960

Properties of LCM 7288 and 7295

(i) The LCM of 7295 and 7288 is associative

LCM of 7288 and 7295 = LCM of 7295 and 7288

Related Least Common Multiples of 7288

Related Least Common Multiples of 7295

Frequently Asked Questions on LCM of 7288 and 7295

1. What is the LCM of 7288 and 7295?

Answer: LCM of 7288 and 7295 is 53165960.

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 7295?

Answer: Factors of 7295 are 1, 5, 1459, 7295. There are 4 integers that are factors of 7295. The greatest factor of 7295 is 7295.

4. How to Find the LCM of 7288 and 7295?

Answer:

Least Common Multiple of 7288 and 7295 = 53165960

Step 1: Find the prime factorization of 7288

7288 = 2 x 2 x 2 x 911

Step 2: Find the prime factorization of 7295

7295 = 5 x 1459

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

LCM = 53165960 = 2 x 2 x 2 x 5 x 911 x 1459

Step 4: Therefore, the least common multiple of 7288 and 7295 is 53165960.