Least Common Multiple of 5871 and 5877

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 5877 the smallest integer that is 11501289 that is divisible by both numbers.

Least Common Multiple (LCM) of 5871 and 5877 is 11501289.

LCM(5871,5877) = 11501289

LCM of 5871 and 5877

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

LCM of:
and

Least Common Multiple of 5871 and 5877

LCM of 5871 and 5877 is 11501289

Least common multiple can be found by multiplying the highest exponent prime factors of 5871 and 5877. First we will calculate the prime factors of 5871 and 5877.

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 5877


3 5877
3 1959
653 653
1

Prime factors of 5877 are 3,653. Prime factorization of 5877 in exponential form is:

5877 = 32×6531

Now multiplying the highest exponent prime factors to calculate the LCM of 5871 and 5877.

LCM(5871,5877) = 32×191×1031×6531
LCM(5871,5877) = 11501289

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 5877

List of positive integer factors of 5877 that divides 5877 without a remainder.

1, 3, 9, 653, 1959, 5877

Least Common Multiple of 5871 and 5877 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 5877, than apply into the LCM equation.

GCF(5871,5877) = 3
LCM(5871,5877) = ( 5871 × 5877) / 3
LCM(5871,5877) = 34503867 / 3
LCM(5871,5877) = 11501289

Properties of LCM 5871 and 5877

(i) The LCM of 5877 and 5871 is associative

LCM of 5871 and 5877 = LCM of 5877 and 5871

Related Least Common Multiples of 5871

Related Least Common Multiples of 5877

Frequently Asked Questions on LCM of 5871 and 5877

1. What is the LCM of 5871 and 5877?

Answer: LCM of 5871 and 5877 is 11501289.

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 5877?

Answer: Factors of 5877 are 1, 3, 9, 653, 1959, 5877. There are 6 integers that are factors of 5877. The greatest factor of 5877 is 5877.

4. How to Find the LCM of 5871 and 5877?

Answer:

Least Common Multiple of 5871 and 5877 = 11501289

Step 1: Find the prime factorization of 5871

5871 = 3 x 19 x 103

Step 2: Find the prime factorization of 5877

5877 = 3 x 3 x 653

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

LCM = 11501289 = 3 x 3 x 19 x 103 x 653

Step 4: Therefore, the least common multiple of 5871 and 5877 is 11501289.