Least Common Multiple of 5273 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 5273 and 5280 the smallest integer that is 27841440 that is divisible by both numbers.

Least Common Multiple (LCM) of 5273 and 5280 is 27841440.

LCM(5273,5280) = 27841440

LCM of 5273 and 5280

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

LCM of:
and

Least Common Multiple of 5273 and 5280

LCM of 5273 and 5280 is 27841440

Least common multiple can be found by multiplying the highest exponent prime factors of 5273 and 5280. First we will calculate the prime factors of 5273 and 5280.

Prime Factorization of 5273


5273 5273
1

Prime factors of 5273 are 5273. Prime factorization of 5273 in exponential form is:

5273 = 52731

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 5273 and 5280.

LCM(5273,5280) = 25×31×51×111×52731
LCM(5273,5280) = 27841440

Factors of 5273

List of positive integer factors of 5273 that divides 5273 without a remainder.

1, 5273

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 5273 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 5273 and 5280, than apply into the LCM equation.

GCF(5273,5280) = 1
LCM(5273,5280) = ( 5273 × 5280) / 1
LCM(5273,5280) = 27841440 / 1
LCM(5273,5280) = 27841440

Properties of LCM 5273 and 5280

(i) The LCM of 5280 and 5273 is associative

LCM of 5273 and 5280 = LCM of 5280 and 5273

Related Least Common Multiples of 5273

Related Least Common Multiples of 5280

Frequently Asked Questions on LCM of 5273 and 5280

1. What is the LCM of 5273 and 5280?

Answer: LCM of 5273 and 5280 is 27841440.

2. What are the Factors of 5273?

Answer: Factors of 5273 are 1, 5273. There are 2 integers that are factors of 5273. The greatest factor of 5273 is 5273.

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 5273 and 5280?

Answer:

Least Common Multiple of 5273 and 5280 = 27841440

Step 1: Find the prime factorization of 5273

5273 = 5273

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 = 27841440 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 5273

Step 4: Therefore, the least common multiple of 5273 and 5280 is 27841440.