Least Common Multiple of 7192 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 7192 and 7200 the smallest integer that is 6472800 that is divisible by both numbers.

Least Common Multiple (LCM) of 7192 and 7200 is 6472800.

LCM(7192,7200) = 6472800

LCM of 7192 and 7200

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

LCM of:
and

Least Common Multiple of 7192 and 7200

LCM of 7192 and 7200 is 6472800

Least common multiple can be found by multiplying the highest exponent prime factors of 7192 and 7200. First we will calculate the prime factors of 7192 and 7200.

Prime Factorization of 7192


2 7192
2 3596
2 1798
29 899
31 31
1

Prime factors of 7192 are 2, 29,31. Prime factorization of 7192 in exponential form is:

7192 = 23×291×311

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 7192 and 7200.

LCM(7192,7200) = 25×32×52×291×311
LCM(7192,7200) = 6472800

Factors of 7192

List of positive integer factors of 7192 that divides 7192 without a remainder.

1, 2, 4, 8, 29, 31, 58, 62, 116, 124, 232, 248, 899, 1798, 3596, 7192

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 7192 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 7192 and 7200, than apply into the LCM equation.

GCF(7192,7200) = 8
LCM(7192,7200) = ( 7192 × 7200) / 8
LCM(7192,7200) = 51782400 / 8
LCM(7192,7200) = 6472800

Properties of LCM 7192 and 7200

(i) The LCM of 7200 and 7192 is associative

LCM of 7192 and 7200 = LCM of 7200 and 7192

Related Least Common Multiples of 7192

Related Least Common Multiples of 7200

Frequently Asked Questions on LCM of 7192 and 7200

1. What is the LCM of 7192 and 7200?

Answer: LCM of 7192 and 7200 is 6472800.

2. What are the Factors of 7192?

Answer: Factors of 7192 are 1, 2, 4, 8, 29, 31, 58, 62, 116, 124, 232, 248, 899, 1798, 3596, 7192. There are 16 integers that are factors of 7192. The greatest factor of 7192 is 7192.

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 7192 and 7200?

Answer:

Least Common Multiple of 7192 and 7200 = 6472800

Step 1: Find the prime factorization of 7192

7192 = 2 x 2 x 2 x 29 x 31

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 = 6472800 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 29 x 31

Step 4: Therefore, the least common multiple of 7192 and 7200 is 6472800.