Least Common Multiple of 7185 and 7192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7185 and 7192 the smallest integer that is 51674520 that is divisible by both numbers.

Least Common Multiple (LCM) of 7185 and 7192 is 51674520.

LCM(7185,7192) = 51674520

LCM of 7185 and 7192

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

LCM of:
and

Least Common Multiple of 7185 and 7192

LCM of 7185 and 7192 is 51674520

Least common multiple can be found by multiplying the highest exponent prime factors of 7185 and 7192. First we will calculate the prime factors of 7185 and 7192.

Prime Factorization of 7185


3 7185
5 2395
479 479
1

Prime factors of 7185 are 3, 5,479. Prime factorization of 7185 in exponential form is:

7185 = 31×51×4791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7185 and 7192.

LCM(7185,7192) = 23×31×51×291×311×4791
LCM(7185,7192) = 51674520

Factors of 7185

List of positive integer factors of 7185 that divides 7185 without a remainder.

1, 3, 5, 15, 479, 1437, 2395, 7185

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

Least Common Multiple of 7185 and 7192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7185 and 7192, than apply into the LCM equation.

GCF(7185,7192) = 1
LCM(7185,7192) = ( 7185 × 7192) / 1
LCM(7185,7192) = 51674520 / 1
LCM(7185,7192) = 51674520

Properties of LCM 7185 and 7192

(i) The LCM of 7192 and 7185 is associative

LCM of 7185 and 7192 = LCM of 7192 and 7185

Related Least Common Multiples of 7185

Related Least Common Multiples of 7192

Frequently Asked Questions on LCM of 7185 and 7192

1. What is the LCM of 7185 and 7192?

Answer: LCM of 7185 and 7192 is 51674520.

2. What are the Factors of 7185?

Answer: Factors of 7185 are 1, 3, 5, 15, 479, 1437, 2395, 7185. There are 8 integers that are factors of 7185. The greatest factor of 7185 is 7185.

3. 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.

4. How to Find the LCM of 7185 and 7192?

Answer:

Least Common Multiple of 7185 and 7192 = 51674520

Step 1: Find the prime factorization of 7185

7185 = 3 x 5 x 479

Step 2: Find the prime factorization of 7192

7192 = 2 x 2 x 2 x 29 x 31

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

LCM = 51674520 = 2 x 2 x 2 x 3 x 5 x 29 x 31 x 479

Step 4: Therefore, the least common multiple of 7185 and 7192 is 51674520.