Least Common Multiple of 7275 and 7280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7275 and 7280 the smallest integer that is 10592400 that is divisible by both numbers.

Least Common Multiple (LCM) of 7275 and 7280 is 10592400.

LCM(7275,7280) = 10592400

LCM of 7275 and 7280

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

LCM of:
and

Least Common Multiple of 7275 and 7280

LCM of 7275 and 7280 is 10592400

Least common multiple can be found by multiplying the highest exponent prime factors of 7275 and 7280. First we will calculate the prime factors of 7275 and 7280.

Prime Factorization of 7275


3 7275
5 2425
5 485
97 97
1

Prime factors of 7275 are 3, 5,97. Prime factorization of 7275 in exponential form is:

7275 = 31×52×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7275 and 7280.

LCM(7275,7280) = 24×31×52×71×131×971
LCM(7275,7280) = 10592400

Factors of 7275

List of positive integer factors of 7275 that divides 7275 without a remainder.

1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275

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

Least Common Multiple of 7275 and 7280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7275 and 7280, than apply into the LCM equation.

GCF(7275,7280) = 5
LCM(7275,7280) = ( 7275 × 7280) / 5
LCM(7275,7280) = 52962000 / 5
LCM(7275,7280) = 10592400

Properties of LCM 7275 and 7280

(i) The LCM of 7280 and 7275 is associative

LCM of 7275 and 7280 = LCM of 7280 and 7275

Related Least Common Multiples of 7275

Related Least Common Multiples of 7280

Frequently Asked Questions on LCM of 7275 and 7280

1. What is the LCM of 7275 and 7280?

Answer: LCM of 7275 and 7280 is 10592400.

2. What are the Factors of 7275?

Answer: Factors of 7275 are 1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275. There are 12 integers that are factors of 7275. The greatest factor of 7275 is 7275.

3. 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.

4. How to Find the LCM of 7275 and 7280?

Answer:

Least Common Multiple of 7275 and 7280 = 10592400

Step 1: Find the prime factorization of 7275

7275 = 3 x 5 x 5 x 97

Step 2: Find the prime factorization of 7280

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

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

LCM = 10592400 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 13 x 97

Step 4: Therefore, the least common multiple of 7275 and 7280 is 10592400.