Least Common Multiple of 7280 and 7287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7280 and 7287 the smallest integer that is 7578480 that is divisible by both numbers.

Least Common Multiple (LCM) of 7280 and 7287 is 7578480.

LCM(7280,7287) = 7578480

LCM of 7280 and 7287

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

LCM of:
and

Least Common Multiple of 7280 and 7287

LCM of 7280 and 7287 is 7578480

Least common multiple can be found by multiplying the highest exponent prime factors of 7280 and 7287. First we will calculate the prime factors of 7280 and 7287.

Prime Factorization of 7280


2 7280
2 3640
2 1820
2 910
5 455
7 91
13 13
1

Prime factors of 7280 are 2, 5, 7,13. Prime factorization of 7280 in exponential form is:

7280 = 24×51×71×131

Prime Factorization of 7287


3 7287
7 2429
347 347
1

Prime factors of 7287 are 3, 7,347. Prime factorization of 7287 in exponential form is:

7287 = 31×71×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 7280 and 7287.

LCM(7280,7287) = 24×31×51×71×131×3471
LCM(7280,7287) = 7578480

Factors of 7280

List of positive integer factors of 7280 that divides 7280 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280

Factors of 7287

List of positive integer factors of 7287 that divides 7287 without a remainder.

1, 3, 7, 21, 347, 1041, 2429, 7287

Least Common Multiple of 7280 and 7287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7280 and 7287, than apply into the LCM equation.

GCF(7280,7287) = 7
LCM(7280,7287) = ( 7280 × 7287) / 7
LCM(7280,7287) = 53049360 / 7
LCM(7280,7287) = 7578480

Properties of LCM 7280 and 7287

(i) The LCM of 7287 and 7280 is associative

LCM of 7280 and 7287 = LCM of 7287 and 7280

Related Least Common Multiples of 7280

Related Least Common Multiples of 7287

Frequently Asked Questions on LCM of 7280 and 7287

1. What is the LCM of 7280 and 7287?

Answer: LCM of 7280 and 7287 is 7578480.

2. What are the Factors of 7280?

Answer: Factors of 7280 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 52, 56, 65, 70, 80, 91, 104, 112, 130, 140, 182, 208, 260, 280, 364, 455, 520, 560, 728, 910, 1040, 1456, 1820, 3640, 7280. There are 40 integers that are factors of 7280. The greatest factor of 7280 is 7280.

3. What are the Factors of 7287?

Answer: Factors of 7287 are 1, 3, 7, 21, 347, 1041, 2429, 7287. There are 8 integers that are factors of 7287. The greatest factor of 7287 is 7287.

4. How to Find the LCM of 7280 and 7287?

Answer:

Least Common Multiple of 7280 and 7287 = 7578480

Step 1: Find the prime factorization of 7280

7280 = 2 x 2 x 2 x 2 x 5 x 7 x 13

Step 2: Find the prime factorization of 7287

7287 = 3 x 7 x 347

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

LCM = 7578480 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 347

Step 4: Therefore, the least common multiple of 7280 and 7287 is 7578480.