Least Common Multiple of 7273 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 7273 and 7280 the smallest integer that is 7563920 that is divisible by both numbers.

Least Common Multiple (LCM) of 7273 and 7280 is 7563920.

LCM(7273,7280) = 7563920

LCM of 7273 and 7280

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

LCM of:
and

Least Common Multiple of 7273 and 7280

LCM of 7273 and 7280 is 7563920

Least common multiple can be found by multiplying the highest exponent prime factors of 7273 and 7280. First we will calculate the prime factors of 7273 and 7280.

Prime Factorization of 7273


7 7273
1039 1039
1

Prime factors of 7273 are 7,1039. Prime factorization of 7273 in exponential form is:

7273 = 71×10391

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 7273 and 7280.

LCM(7273,7280) = 24×51×71×131×10391
LCM(7273,7280) = 7563920

Factors of 7273

List of positive integer factors of 7273 that divides 7273 without a remainder.

1, 7, 1039, 7273

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 7273 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 7273 and 7280, than apply into the LCM equation.

GCF(7273,7280) = 7
LCM(7273,7280) = ( 7273 × 7280) / 7
LCM(7273,7280) = 52947440 / 7
LCM(7273,7280) = 7563920

Properties of LCM 7273 and 7280

(i) The LCM of 7280 and 7273 is associative

LCM of 7273 and 7280 = LCM of 7280 and 7273

Related Least Common Multiples of 7273

Related Least Common Multiples of 7280

Frequently Asked Questions on LCM of 7273 and 7280

1. What is the LCM of 7273 and 7280?

Answer: LCM of 7273 and 7280 is 7563920.

2. What are the Factors of 7273?

Answer: Factors of 7273 are 1, 7, 1039, 7273. There are 4 integers that are factors of 7273. The greatest factor of 7273 is 7273.

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 7273 and 7280?

Answer:

Least Common Multiple of 7273 and 7280 = 7563920

Step 1: Find the prime factorization of 7273

7273 = 7 x 1039

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 = 7563920 = 2 x 2 x 2 x 2 x 5 x 7 x 13 x 1039

Step 4: Therefore, the least common multiple of 7273 and 7280 is 7563920.