Least Common Multiple of 7187 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 7187 and 7195 the smallest integer that is 51710465 that is divisible by both numbers.

Least Common Multiple (LCM) of 7187 and 7195 is 51710465.

LCM(7187,7195) = 51710465

LCM of 7187 and 7195

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

LCM of:
and

Least Common Multiple of 7187 and 7195

LCM of 7187 and 7195 is 51710465

Least common multiple can be found by multiplying the highest exponent prime factors of 7187 and 7195. First we will calculate the prime factors of 7187 and 7195.

Prime Factorization of 7187


7187 7187
1

Prime factors of 7187 are 7187. Prime factorization of 7187 in exponential form is:

7187 = 71871

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 7187 and 7195.

LCM(7187,7195) = 51×14391×71871
LCM(7187,7195) = 51710465

Factors of 7187

List of positive integer factors of 7187 that divides 7187 without a remainder.

1, 7187

Factors of 7195

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

1, 5, 1439, 7195

Least Common Multiple of 7187 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 7187 and 7195, than apply into the LCM equation.

GCF(7187,7195) = 1
LCM(7187,7195) = ( 7187 × 7195) / 1
LCM(7187,7195) = 51710465 / 1
LCM(7187,7195) = 51710465

Properties of LCM 7187 and 7195

(i) The LCM of 7195 and 7187 is associative

LCM of 7187 and 7195 = LCM of 7195 and 7187

Related Least Common Multiples of 7187

Related Least Common Multiples of 7195

Frequently Asked Questions on LCM of 7187 and 7195

1. What is the LCM of 7187 and 7195?

Answer: LCM of 7187 and 7195 is 51710465.

2. What are the Factors of 7187?

Answer: Factors of 7187 are 1, 7187. There are 2 integers that are factors of 7187. The greatest factor of 7187 is 7187.

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 7187 and 7195?

Answer:

Least Common Multiple of 7187 and 7195 = 51710465

Step 1: Find the prime factorization of 7187

7187 = 7187

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 = 51710465 = 5 x 1439 x 7187

Step 4: Therefore, the least common multiple of 7187 and 7195 is 51710465.