Least Common Multiple of 5280 and 5285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5280 and 5285 the smallest integer that is 5580960 that is divisible by both numbers.

Least Common Multiple (LCM) of 5280 and 5285 is 5580960.

LCM(5280,5285) = 5580960

LCM of 5280 and 5285

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

LCM of:
and

Least Common Multiple of 5280 and 5285

LCM of 5280 and 5285 is 5580960

Least common multiple can be found by multiplying the highest exponent prime factors of 5280 and 5285. First we will calculate the prime factors of 5280 and 5285.

Prime Factorization of 5280


2 5280
2 2640
2 1320
2 660
2 330
3 165
5 55
11 11
1

Prime factors of 5280 are 2, 3, 5,11. Prime factorization of 5280 in exponential form is:

5280 = 25×31×51×111

Prime Factorization of 5285


5 5285
7 1057
151 151
1

Prime factors of 5285 are 5, 7,151. Prime factorization of 5285 in exponential form is:

5285 = 51×71×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 5280 and 5285.

LCM(5280,5285) = 25×31×51×71×111×1511
LCM(5280,5285) = 5580960

Factors of 5280

List of positive integer factors of 5280 that divides 5280 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280

Factors of 5285

List of positive integer factors of 5285 that divides 5285 without a remainder.

1, 5, 7, 35, 151, 755, 1057, 5285

Least Common Multiple of 5280 and 5285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5280 and 5285, than apply into the LCM equation.

GCF(5280,5285) = 5
LCM(5280,5285) = ( 5280 × 5285) / 5
LCM(5280,5285) = 27904800 / 5
LCM(5280,5285) = 5580960

Properties of LCM 5280 and 5285

(i) The LCM of 5285 and 5280 is associative

LCM of 5280 and 5285 = LCM of 5285 and 5280

Related Least Common Multiples of 5280

Related Least Common Multiples of 5285

Frequently Asked Questions on LCM of 5280 and 5285

1. What is the LCM of 5280 and 5285?

Answer: LCM of 5280 and 5285 is 5580960.

2. What are the Factors of 5280?

Answer: Factors of 5280 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 30, 32, 33, 40, 44, 48, 55, 60, 66, 80, 88, 96, 110, 120, 132, 160, 165, 176, 220, 240, 264, 330, 352, 440, 480, 528, 660, 880, 1056, 1320, 1760, 2640, 5280. There are 48 integers that are factors of 5280. The greatest factor of 5280 is 5280.

3. What are the Factors of 5285?

Answer: Factors of 5285 are 1, 5, 7, 35, 151, 755, 1057, 5285. There are 8 integers that are factors of 5285. The greatest factor of 5285 is 5285.

4. How to Find the LCM of 5280 and 5285?

Answer:

Least Common Multiple of 5280 and 5285 = 5580960

Step 1: Find the prime factorization of 5280

5280 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11

Step 2: Find the prime factorization of 5285

5285 = 5 x 7 x 151

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

LCM = 5580960 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 151

Step 4: Therefore, the least common multiple of 5280 and 5285 is 5580960.