Least Common Multiple of 7185 and 7191

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 7191 the smallest integer that is 17222445 that is divisible by both numbers.

Least Common Multiple (LCM) of 7185 and 7191 is 17222445.

LCM(7185,7191) = 17222445

LCM of 7185 and 7191

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

LCM of:
and

Least Common Multiple of 7185 and 7191

LCM of 7185 and 7191 is 17222445

Least common multiple can be found by multiplying the highest exponent prime factors of 7185 and 7191. First we will calculate the prime factors of 7185 and 7191.

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 7191


3 7191
3 2397
17 799
47 47
1

Prime factors of 7191 are 3, 17,47. Prime factorization of 7191 in exponential form is:

7191 = 32×171×471

Now multiplying the highest exponent prime factors to calculate the LCM of 7185 and 7191.

LCM(7185,7191) = 32×51×171×471×4791
LCM(7185,7191) = 17222445

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 7191

List of positive integer factors of 7191 that divides 7191 without a remainder.

1, 3, 9, 17, 47, 51, 141, 153, 423, 799, 2397, 7191

Least Common Multiple of 7185 and 7191 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 7191, than apply into the LCM equation.

GCF(7185,7191) = 3
LCM(7185,7191) = ( 7185 × 7191) / 3
LCM(7185,7191) = 51667335 / 3
LCM(7185,7191) = 17222445

Properties of LCM 7185 and 7191

(i) The LCM of 7191 and 7185 is associative

LCM of 7185 and 7191 = LCM of 7191 and 7185

Related Least Common Multiples of 7185

Related Least Common Multiples of 7191

Frequently Asked Questions on LCM of 7185 and 7191

1. What is the LCM of 7185 and 7191?

Answer: LCM of 7185 and 7191 is 17222445.

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 7191?

Answer: Factors of 7191 are 1, 3, 9, 17, 47, 51, 141, 153, 423, 799, 2397, 7191. There are 12 integers that are factors of 7191. The greatest factor of 7191 is 7191.

4. How to Find the LCM of 7185 and 7191?

Answer:

Least Common Multiple of 7185 and 7191 = 17222445

Step 1: Find the prime factorization of 7185

7185 = 3 x 5 x 479

Step 2: Find the prime factorization of 7191

7191 = 3 x 3 x 17 x 47

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

LCM = 17222445 = 3 x 3 x 5 x 17 x 47 x 479

Step 4: Therefore, the least common multiple of 7185 and 7191 is 17222445.