Least Common Multiple of 5871 and 5875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5871 and 5875 the smallest integer that is 34492125 that is divisible by both numbers.

Least Common Multiple (LCM) of 5871 and 5875 is 34492125.

LCM(5871,5875) = 34492125

LCM of 5871 and 5875

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

LCM of:
and

Least Common Multiple of 5871 and 5875

LCM of 5871 and 5875 is 34492125

Least common multiple can be found by multiplying the highest exponent prime factors of 5871 and 5875. First we will calculate the prime factors of 5871 and 5875.

Prime Factorization of 5871


3 5871
19 1957
103 103
1

Prime factors of 5871 are 3, 19,103. Prime factorization of 5871 in exponential form is:

5871 = 31×191×1031

Prime Factorization of 5875


5 5875
5 1175
5 235
47 47
1

Prime factors of 5875 are 5,47. Prime factorization of 5875 in exponential form is:

5875 = 53×471

Now multiplying the highest exponent prime factors to calculate the LCM of 5871 and 5875.

LCM(5871,5875) = 31×53×191×471×1031
LCM(5871,5875) = 34492125

Factors of 5871

List of positive integer factors of 5871 that divides 5871 without a remainder.

1, 3, 19, 57, 103, 309, 1957, 5871

Factors of 5875

List of positive integer factors of 5875 that divides 5875 without a remainder.

1, 5, 25, 47, 125, 235, 1175, 5875

Least Common Multiple of 5871 and 5875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5871 and 5875, than apply into the LCM equation.

GCF(5871,5875) = 1
LCM(5871,5875) = ( 5871 × 5875) / 1
LCM(5871,5875) = 34492125 / 1
LCM(5871,5875) = 34492125

Properties of LCM 5871 and 5875

(i) The LCM of 5875 and 5871 is associative

LCM of 5871 and 5875 = LCM of 5875 and 5871

Related Least Common Multiples of 5871

Related Least Common Multiples of 5875

Frequently Asked Questions on LCM of 5871 and 5875

1. What is the LCM of 5871 and 5875?

Answer: LCM of 5871 and 5875 is 34492125.

2. What are the Factors of 5871?

Answer: Factors of 5871 are 1, 3, 19, 57, 103, 309, 1957, 5871. There are 8 integers that are factors of 5871. The greatest factor of 5871 is 5871.

3. What are the Factors of 5875?

Answer: Factors of 5875 are 1, 5, 25, 47, 125, 235, 1175, 5875. There are 8 integers that are factors of 5875. The greatest factor of 5875 is 5875.

4. How to Find the LCM of 5871 and 5875?

Answer:

Least Common Multiple of 5871 and 5875 = 34492125

Step 1: Find the prime factorization of 5871

5871 = 3 x 19 x 103

Step 2: Find the prime factorization of 5875

5875 = 5 x 5 x 5 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 = 34492125 = 3 x 5 x 5 x 5 x 19 x 47 x 103

Step 4: Therefore, the least common multiple of 5871 and 5875 is 34492125.