Least Common Multiple of 6871 and 6875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6871 and 6875 the smallest integer that is 47238125 that is divisible by both numbers.

Least Common Multiple (LCM) of 6871 and 6875 is 47238125.

LCM(6871,6875) = 47238125

LCM of 6871 and 6875

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

LCM of:
and

Least Common Multiple of 6871 and 6875

LCM of 6871 and 6875 is 47238125

Least common multiple can be found by multiplying the highest exponent prime factors of 6871 and 6875. First we will calculate the prime factors of 6871 and 6875.

Prime Factorization of 6871


6871 6871
1

Prime factors of 6871 are 6871. Prime factorization of 6871 in exponential form is:

6871 = 68711

Prime Factorization of 6875


5 6875
5 1375
5 275
5 55
11 11
1

Prime factors of 6875 are 5,11. Prime factorization of 6875 in exponential form is:

6875 = 54×111

Now multiplying the highest exponent prime factors to calculate the LCM of 6871 and 6875.

LCM(6871,6875) = 54×111×68711
LCM(6871,6875) = 47238125

Factors of 6871

List of positive integer factors of 6871 that divides 6871 without a remainder.

1, 6871

Factors of 6875

List of positive integer factors of 6875 that divides 6875 without a remainder.

1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875

Least Common Multiple of 6871 and 6875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6871 and 6875, than apply into the LCM equation.

GCF(6871,6875) = 1
LCM(6871,6875) = ( 6871 × 6875) / 1
LCM(6871,6875) = 47238125 / 1
LCM(6871,6875) = 47238125

Properties of LCM 6871 and 6875

(i) The LCM of 6875 and 6871 is associative

LCM of 6871 and 6875 = LCM of 6875 and 6871

Related Least Common Multiples of 6871

Related Least Common Multiples of 6875

Frequently Asked Questions on LCM of 6871 and 6875

1. What is the LCM of 6871 and 6875?

Answer: LCM of 6871 and 6875 is 47238125.

2. What are the Factors of 6871?

Answer: Factors of 6871 are 1, 6871. There are 2 integers that are factors of 6871. The greatest factor of 6871 is 6871.

3. What are the Factors of 6875?

Answer: Factors of 6875 are 1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875. There are 10 integers that are factors of 6875. The greatest factor of 6875 is 6875.

4. How to Find the LCM of 6871 and 6875?

Answer:

Least Common Multiple of 6871 and 6875 = 47238125

Step 1: Find the prime factorization of 6871

6871 = 6871

Step 2: Find the prime factorization of 6875

6875 = 5 x 5 x 5 x 5 x 11

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

LCM = 47238125 = 5 x 5 x 5 x 5 x 11 x 6871

Step 4: Therefore, the least common multiple of 6871 and 6875 is 47238125.