Least Common Multiple of 7293 and 7300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7293 and 7300 the smallest integer that is 53238900 that is divisible by both numbers.

Least Common Multiple (LCM) of 7293 and 7300 is 53238900.

LCM(7293,7300) = 53238900

LCM of 7293 and 7300

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

LCM of:
and

Least Common Multiple of 7293 and 7300

LCM of 7293 and 7300 is 53238900

Least common multiple can be found by multiplying the highest exponent prime factors of 7293 and 7300. First we will calculate the prime factors of 7293 and 7300.

Prime Factorization of 7293


3 7293
11 2431
13 221
17 17
1

Prime factors of 7293 are 3, 11, 13,17. Prime factorization of 7293 in exponential form is:

7293 = 31×111×131×171

Prime Factorization of 7300


2 7300
2 3650
5 1825
5 365
73 73
1

Prime factors of 7300 are 2, 5,73. Prime factorization of 7300 in exponential form is:

7300 = 22×52×731

Now multiplying the highest exponent prime factors to calculate the LCM of 7293 and 7300.

LCM(7293,7300) = 22×31×52×111×131×171×731
LCM(7293,7300) = 53238900

Factors of 7293

List of positive integer factors of 7293 that divides 7293 without a remainder.

1, 3, 11, 13, 17, 33, 39, 51, 143, 187, 221, 429, 561, 663, 2431, 7293

Factors of 7300

List of positive integer factors of 7300 that divides 7300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 73, 100, 146, 292, 365, 730, 1460, 1825, 3650, 7300

Least Common Multiple of 7293 and 7300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7293 and 7300, than apply into the LCM equation.

GCF(7293,7300) = 1
LCM(7293,7300) = ( 7293 × 7300) / 1
LCM(7293,7300) = 53238900 / 1
LCM(7293,7300) = 53238900

Properties of LCM 7293 and 7300

(i) The LCM of 7300 and 7293 is associative

LCM of 7293 and 7300 = LCM of 7300 and 7293

Related Least Common Multiples of 7293

Related Least Common Multiples of 7300

Frequently Asked Questions on LCM of 7293 and 7300

1. What is the LCM of 7293 and 7300?

Answer: LCM of 7293 and 7300 is 53238900.

2. What are the Factors of 7293?

Answer: Factors of 7293 are 1, 3, 11, 13, 17, 33, 39, 51, 143, 187, 221, 429, 561, 663, 2431, 7293. There are 16 integers that are factors of 7293. The greatest factor of 7293 is 7293.

3. What are the Factors of 7300?

Answer: Factors of 7300 are 1, 2, 4, 5, 10, 20, 25, 50, 73, 100, 146, 292, 365, 730, 1460, 1825, 3650, 7300. There are 18 integers that are factors of 7300. The greatest factor of 7300 is 7300.

4. How to Find the LCM of 7293 and 7300?

Answer:

Least Common Multiple of 7293 and 7300 = 53238900

Step 1: Find the prime factorization of 7293

7293 = 3 x 11 x 13 x 17

Step 2: Find the prime factorization of 7300

7300 = 2 x 2 x 5 x 5 x 73

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

LCM = 53238900 = 2 x 2 x 3 x 5 x 5 x 11 x 13 x 17 x 73

Step 4: Therefore, the least common multiple of 7293 and 7300 is 53238900.