Least Common Multiple of 7193 and 7200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7193 and 7200 the smallest integer that is 51789600 that is divisible by both numbers.

Least Common Multiple (LCM) of 7193 and 7200 is 51789600.

LCM(7193,7200) = 51789600

LCM of 7193 and 7200

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

LCM of:
and

Least Common Multiple of 7193 and 7200

LCM of 7193 and 7200 is 51789600

Least common multiple can be found by multiplying the highest exponent prime factors of 7193 and 7200. First we will calculate the prime factors of 7193 and 7200.

Prime Factorization of 7193


7193 7193
1

Prime factors of 7193 are 7193. Prime factorization of 7193 in exponential form is:

7193 = 71931

Prime Factorization of 7200


2 7200
2 3600
2 1800
2 900
2 450
3 225
3 75
5 25
5 5
1

Prime factors of 7200 are 2, 3,5. Prime factorization of 7200 in exponential form is:

7200 = 25×32×52

Now multiplying the highest exponent prime factors to calculate the LCM of 7193 and 7200.

LCM(7193,7200) = 25×32×52×71931
LCM(7193,7200) = 51789600

Factors of 7193

List of positive integer factors of 7193 that divides 7193 without a remainder.

1, 7193

Factors of 7200

List of positive integer factors of 7200 that divides 7200 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200

Least Common Multiple of 7193 and 7200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7193 and 7200, than apply into the LCM equation.

GCF(7193,7200) = 1
LCM(7193,7200) = ( 7193 × 7200) / 1
LCM(7193,7200) = 51789600 / 1
LCM(7193,7200) = 51789600

Properties of LCM 7193 and 7200

(i) The LCM of 7200 and 7193 is associative

LCM of 7193 and 7200 = LCM of 7200 and 7193

Related Least Common Multiples of 7193

Related Least Common Multiples of 7200

Frequently Asked Questions on LCM of 7193 and 7200

1. What is the LCM of 7193 and 7200?

Answer: LCM of 7193 and 7200 is 51789600.

2. What are the Factors of 7193?

Answer: Factors of 7193 are 1, 7193. There are 2 integers that are factors of 7193. The greatest factor of 7193 is 7193.

3. What are the Factors of 7200?

Answer: Factors of 7200 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 32, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 96, 100, 120, 144, 150, 160, 180, 200, 225, 240, 288, 300, 360, 400, 450, 480, 600, 720, 800, 900, 1200, 1440, 1800, 2400, 3600, 7200. There are 54 integers that are factors of 7200. The greatest factor of 7200 is 7200.

4. How to Find the LCM of 7193 and 7200?

Answer:

Least Common Multiple of 7193 and 7200 = 51789600

Step 1: Find the prime factorization of 7193

7193 = 7193

Step 2: Find the prime factorization of 7200

7200 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5

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

LCM = 51789600 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7193

Step 4: Therefore, the least common multiple of 7193 and 7200 is 51789600.