Least Common Multiple of 5272 and 5280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5272 and 5280 the smallest integer that is 3479520 that is divisible by both numbers.

Least Common Multiple (LCM) of 5272 and 5280 is 3479520.

LCM(5272,5280) = 3479520

LCM of 5272 and 5280

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

LCM of:
and

Least Common Multiple of 5272 and 5280

LCM of 5272 and 5280 is 3479520

Least common multiple can be found by multiplying the highest exponent prime factors of 5272 and 5280. First we will calculate the prime factors of 5272 and 5280.

Prime Factorization of 5272


2 5272
2 2636
2 1318
659 659
1

Prime factors of 5272 are 2,659. Prime factorization of 5272 in exponential form is:

5272 = 23×6591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5272 and 5280.

LCM(5272,5280) = 25×31×51×111×6591
LCM(5272,5280) = 3479520

Factors of 5272

List of positive integer factors of 5272 that divides 5272 without a remainder.

1, 2, 4, 8, 659, 1318, 2636, 5272

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

Least Common Multiple of 5272 and 5280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5272 and 5280, than apply into the LCM equation.

GCF(5272,5280) = 8
LCM(5272,5280) = ( 5272 × 5280) / 8
LCM(5272,5280) = 27836160 / 8
LCM(5272,5280) = 3479520

Properties of LCM 5272 and 5280

(i) The LCM of 5280 and 5272 is associative

LCM of 5272 and 5280 = LCM of 5280 and 5272

Related Least Common Multiples of 5272

Related Least Common Multiples of 5280

Frequently Asked Questions on LCM of 5272 and 5280

1. What is the LCM of 5272 and 5280?

Answer: LCM of 5272 and 5280 is 3479520.

2. What are the Factors of 5272?

Answer: Factors of 5272 are 1, 2, 4, 8, 659, 1318, 2636, 5272. There are 8 integers that are factors of 5272. The greatest factor of 5272 is 5272.

3. 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.

4. How to Find the LCM of 5272 and 5280?

Answer:

Least Common Multiple of 5272 and 5280 = 3479520

Step 1: Find the prime factorization of 5272

5272 = 2 x 2 x 2 x 659

Step 2: Find the prime factorization of 5280

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

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

LCM = 3479520 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 659

Step 4: Therefore, the least common multiple of 5272 and 5280 is 3479520.