Least Common Multiple of 7285 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 7285 and 7288 the smallest integer that is 53093080 that is divisible by both numbers.

Least Common Multiple (LCM) of 7285 and 7288 is 53093080.

LCM(7285,7288) = 53093080

LCM of 7285 and 7288

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

LCM of:
and

Least Common Multiple of 7285 and 7288

LCM of 7285 and 7288 is 53093080

Least common multiple can be found by multiplying the highest exponent prime factors of 7285 and 7288. First we will calculate the prime factors of 7285 and 7288.

Prime Factorization of 7285


5 7285
31 1457
47 47
1

Prime factors of 7285 are 5, 31,47. Prime factorization of 7285 in exponential form is:

7285 = 51×311×471

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 7285 and 7288.

LCM(7285,7288) = 23×51×311×471×9111
LCM(7285,7288) = 53093080

Factors of 7285

List of positive integer factors of 7285 that divides 7285 without a remainder.

1, 5, 31, 47, 155, 235, 1457, 7285

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 7285 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 7285 and 7288, than apply into the LCM equation.

GCF(7285,7288) = 1
LCM(7285,7288) = ( 7285 × 7288) / 1
LCM(7285,7288) = 53093080 / 1
LCM(7285,7288) = 53093080

Properties of LCM 7285 and 7288

(i) The LCM of 7288 and 7285 is associative

LCM of 7285 and 7288 = LCM of 7288 and 7285

Related Least Common Multiples of 7285

Related Least Common Multiples of 7288

Frequently Asked Questions on LCM of 7285 and 7288

1. What is the LCM of 7285 and 7288?

Answer: LCM of 7285 and 7288 is 53093080.

2. What are the Factors of 7285?

Answer: Factors of 7285 are 1, 5, 31, 47, 155, 235, 1457, 7285. There are 8 integers that are factors of 7285. The greatest factor of 7285 is 7285.

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 7285 and 7288?

Answer:

Least Common Multiple of 7285 and 7288 = 53093080

Step 1: Find the prime factorization of 7285

7285 = 5 x 31 x 47

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 = 53093080 = 2 x 2 x 2 x 5 x 31 x 47 x 911

Step 4: Therefore, the least common multiple of 7285 and 7288 is 53093080.