Least Common Multiple of 7188 and 7195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7188 and 7195 the smallest integer that is 51717660 that is divisible by both numbers.

Least Common Multiple (LCM) of 7188 and 7195 is 51717660.

LCM(7188,7195) = 51717660

LCM of 7188 and 7195

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

LCM of:
and

Least Common Multiple of 7188 and 7195

LCM of 7188 and 7195 is 51717660

Least common multiple can be found by multiplying the highest exponent prime factors of 7188 and 7195. First we will calculate the prime factors of 7188 and 7195.

Prime Factorization of 7188


2 7188
2 3594
3 1797
599 599
1

Prime factors of 7188 are 2, 3,599. Prime factorization of 7188 in exponential form is:

7188 = 22×31×5991

Prime Factorization of 7195


5 7195
1439 1439
1

Prime factors of 7195 are 5,1439. Prime factorization of 7195 in exponential form is:

7195 = 51×14391

Now multiplying the highest exponent prime factors to calculate the LCM of 7188 and 7195.

LCM(7188,7195) = 22×31×51×5991×14391
LCM(7188,7195) = 51717660

Factors of 7188

List of positive integer factors of 7188 that divides 7188 without a remainder.

1, 2, 3, 4, 6, 12, 599, 1198, 1797, 2396, 3594, 7188

Factors of 7195

List of positive integer factors of 7195 that divides 7195 without a remainder.

1, 5, 1439, 7195

Least Common Multiple of 7188 and 7195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7188 and 7195, than apply into the LCM equation.

GCF(7188,7195) = 1
LCM(7188,7195) = ( 7188 × 7195) / 1
LCM(7188,7195) = 51717660 / 1
LCM(7188,7195) = 51717660

Properties of LCM 7188 and 7195

(i) The LCM of 7195 and 7188 is associative

LCM of 7188 and 7195 = LCM of 7195 and 7188

Related Least Common Multiples of 7188

Related Least Common Multiples of 7195

Frequently Asked Questions on LCM of 7188 and 7195

1. What is the LCM of 7188 and 7195?

Answer: LCM of 7188 and 7195 is 51717660.

2. What are the Factors of 7188?

Answer: Factors of 7188 are 1, 2, 3, 4, 6, 12, 599, 1198, 1797, 2396, 3594, 7188. There are 12 integers that are factors of 7188. The greatest factor of 7188 is 7188.

3. What are the Factors of 7195?

Answer: Factors of 7195 are 1, 5, 1439, 7195. There are 4 integers that are factors of 7195. The greatest factor of 7195 is 7195.

4. How to Find the LCM of 7188 and 7195?

Answer:

Least Common Multiple of 7188 and 7195 = 51717660

Step 1: Find the prime factorization of 7188

7188 = 2 x 2 x 3 x 599

Step 2: Find the prime factorization of 7195

7195 = 5 x 1439

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

LCM = 51717660 = 2 x 2 x 3 x 5 x 599 x 1439

Step 4: Therefore, the least common multiple of 7188 and 7195 is 51717660.