Least Common Multiple of 7280 and 7288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7280 and 7288 the smallest integer that is 6632080 that is divisible by both numbers.

Least Common Multiple (LCM) of 7280 and 7288 is 6632080.

LCM(7280,7288) = 6632080

LCM of 7280 and 7288

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

LCM of:
and

Least Common Multiple of 7280 and 7288

LCM of 7280 and 7288 is 6632080

Least common multiple can be found by multiplying the highest exponent prime factors of 7280 and 7288. First we will calculate the prime factors of 7280 and 7288.

Prime Factorization of 7280


2 7280
2 3640
2 1820
2 910
5 455
7 91
13 13
1

Prime factors of 7280 are 2, 5, 7,13. Prime factorization of 7280 in exponential form is:

7280 = 24×51×71×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7280 and 7288.

LCM(7280,7288) = 24×51×71×131×9111
LCM(7280,7288) = 6632080

Factors of 7280

List of positive integer factors of 7280 that divides 7280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280

Factors of 7288

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

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

Least Common Multiple of 7280 and 7288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7280 and 7288, than apply into the LCM equation.

GCF(7280,7288) = 8
LCM(7280,7288) = ( 7280 × 7288) / 8
LCM(7280,7288) = 53056640 / 8
LCM(7280,7288) = 6632080

Properties of LCM 7280 and 7288

(i) The LCM of 7288 and 7280 is associative

LCM of 7280 and 7288 = LCM of 7288 and 7280

Related Least Common Multiples of 7280

Related Least Common Multiples of 7288

Frequently Asked Questions on LCM of 7280 and 7288

1. What is the LCM of 7280 and 7288?

Answer: LCM of 7280 and 7288 is 6632080.

2. What are the Factors of 7280?

Answer: Factors of 7280 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280. There are 40 integers that are factors of 7280. The greatest factor of 7280 is 7280.

3. 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.

4. How to Find the LCM of 7280 and 7288?

Answer:

Least Common Multiple of 7280 and 7288 = 6632080

Step 1: Find the prime factorization of 7280

7280 = 2 x 2 x 2 x 2 x 5 x 7 x 13

Step 2: Find the prime factorization of 7288

7288 = 2 x 2 x 2 x 911

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

LCM = 6632080 = 2 x 2 x 2 x 2 x 5 x 7 x 13 x 911

Step 4: Therefore, the least common multiple of 7280 and 7288 is 6632080.