Least Common Multiple of 2871 and 2877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2871 and 2877 the smallest integer that is 2753289 that is divisible by both numbers.

Least Common Multiple (LCM) of 2871 and 2877 is 2753289.

LCM(2871,2877) = 2753289

LCM of 2871 and 2877

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

LCM of:
and

Least Common Multiple of 2871 and 2877

LCM of 2871 and 2877 is 2753289

Least common multiple can be found by multiplying the highest exponent prime factors of 2871 and 2877. First we will calculate the prime factors of 2871 and 2877.

Prime Factorization of 2871


3 2871
3 957
11 319
29 29
1

Prime factors of 2871 are 3, 11,29. Prime factorization of 2871 in exponential form is:

2871 = 32×111×291

Prime Factorization of 2877


3 2877
7 959
137 137
1

Prime factors of 2877 are 3, 7,137. Prime factorization of 2877 in exponential form is:

2877 = 31×71×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 2871 and 2877.

LCM(2871,2877) = 32×71×111×291×1371
LCM(2871,2877) = 2753289

Factors of 2871

List of positive integer factors of 2871 that divides 2871 without a remainder.

1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957, 2871

Factors of 2877

List of positive integer factors of 2877 that divides 2877 without a remainder.

1, 3, 7, 21, 137, 411, 959, 2877

Least Common Multiple of 2871 and 2877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2871 and 2877, than apply into the LCM equation.

GCF(2871,2877) = 3
LCM(2871,2877) = ( 2871 × 2877) / 3
LCM(2871,2877) = 8259867 / 3
LCM(2871,2877) = 2753289

Properties of LCM 2871 and 2877

(i) The LCM of 2877 and 2871 is associative

LCM of 2871 and 2877 = LCM of 2877 and 2871

Related Least Common Multiples of 2871

Related Least Common Multiples of 2877

Frequently Asked Questions on LCM of 2871 and 2877

1. What is the LCM of 2871 and 2877?

Answer: LCM of 2871 and 2877 is 2753289.

2. What are the Factors of 2871?

Answer: Factors of 2871 are 1, 3, 9, 11, 29, 33, 87, 99, 261, 319, 957, 2871. There are 12 integers that are factors of 2871. The greatest factor of 2871 is 2871.

3. What are the Factors of 2877?

Answer: Factors of 2877 are 1, 3, 7, 21, 137, 411, 959, 2877. There are 8 integers that are factors of 2877. The greatest factor of 2877 is 2877.

4. How to Find the LCM of 2871 and 2877?

Answer:

Least Common Multiple of 2871 and 2877 = 2753289

Step 1: Find the prime factorization of 2871

2871 = 3 x 3 x 11 x 29

Step 2: Find the prime factorization of 2877

2877 = 3 x 7 x 137

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

LCM = 2753289 = 3 x 3 x 7 x 11 x 29 x 137

Step 4: Therefore, the least common multiple of 2871 and 2877 is 2753289.