Least Common Multiple of 5280 and 5288

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 5288 the smallest integer that is 3490080 that is divisible by both numbers.

Least Common Multiple (LCM) of 5280 and 5288 is 3490080.

LCM(5280,5288) = 3490080

LCM of 5280 and 5288

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

LCM of:
and

Least Common Multiple of 5280 and 5288

LCM of 5280 and 5288 is 3490080

Least common multiple can be found by multiplying the highest exponent prime factors of 5280 and 5288. First we will calculate the prime factors of 5280 and 5288.

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 5288


2 5288
2 2644
2 1322
661 661
1

Prime factors of 5288 are 2,661. Prime factorization of 5288 in exponential form is:

5288 = 23×6611

Now multiplying the highest exponent prime factors to calculate the LCM of 5280 and 5288.

LCM(5280,5288) = 25×31×51×111×6611
LCM(5280,5288) = 3490080

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 5288

List of positive integer factors of 5288 that divides 5288 without a remainder.

1, 2, 4, 8, 661, 1322, 2644, 5288

Least Common Multiple of 5280 and 5288 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 5288, than apply into the LCM equation.

GCF(5280,5288) = 8
LCM(5280,5288) = ( 5280 × 5288) / 8
LCM(5280,5288) = 27920640 / 8
LCM(5280,5288) = 3490080

Properties of LCM 5280 and 5288

(i) The LCM of 5288 and 5280 is associative

LCM of 5280 and 5288 = LCM of 5288 and 5280

Related Least Common Multiples of 5280

Related Least Common Multiples of 5288

Frequently Asked Questions on LCM of 5280 and 5288

1. What is the LCM of 5280 and 5288?

Answer: LCM of 5280 and 5288 is 3490080.

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 5288?

Answer: Factors of 5288 are 1, 2, 4, 8, 661, 1322, 2644, 5288. There are 8 integers that are factors of 5288. The greatest factor of 5288 is 5288.

4. How to Find the LCM of 5280 and 5288?

Answer:

Least Common Multiple of 5280 and 5288 = 3490080

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 5288

5288 = 2 x 2 x 2 x 661

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

LCM = 3490080 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 661

Step 4: Therefore, the least common multiple of 5280 and 5288 is 3490080.