Least Common Multiple of 5280 and 5286

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 5286 the smallest integer that is 4651680 that is divisible by both numbers.

Least Common Multiple (LCM) of 5280 and 5286 is 4651680.

LCM(5280,5286) = 4651680

LCM of 5280 and 5286

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

LCM of:
and

Least Common Multiple of 5280 and 5286

LCM of 5280 and 5286 is 4651680

Least common multiple can be found by multiplying the highest exponent prime factors of 5280 and 5286. First we will calculate the prime factors of 5280 and 5286.

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 5286


2 5286
3 2643
881 881
1

Prime factors of 5286 are 2, 3,881. Prime factorization of 5286 in exponential form is:

5286 = 21×31×8811

Now multiplying the highest exponent prime factors to calculate the LCM of 5280 and 5286.

LCM(5280,5286) = 25×31×51×111×8811
LCM(5280,5286) = 4651680

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 5286

List of positive integer factors of 5286 that divides 5286 without a remainder.

1, 2, 3, 6, 881, 1762, 2643, 5286

Least Common Multiple of 5280 and 5286 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 5286, than apply into the LCM equation.

GCF(5280,5286) = 6
LCM(5280,5286) = ( 5280 × 5286) / 6
LCM(5280,5286) = 27910080 / 6
LCM(5280,5286) = 4651680

Properties of LCM 5280 and 5286

(i) The LCM of 5286 and 5280 is associative

LCM of 5280 and 5286 = LCM of 5286 and 5280

Related Least Common Multiples of 5280

Related Least Common Multiples of 5286

Frequently Asked Questions on LCM of 5280 and 5286

1. What is the LCM of 5280 and 5286?

Answer: LCM of 5280 and 5286 is 4651680.

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 5286?

Answer: Factors of 5286 are 1, 2, 3, 6, 881, 1762, 2643, 5286. There are 8 integers that are factors of 5286. The greatest factor of 5286 is 5286.

4. How to Find the LCM of 5280 and 5286?

Answer:

Least Common Multiple of 5280 and 5286 = 4651680

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 5286

5286 = 2 x 3 x 881

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

LCM = 4651680 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 881

Step 4: Therefore, the least common multiple of 5280 and 5286 is 4651680.