Least Common Multiple of 871 and 877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 871 and 877 the smallest integer that is 763867 that is divisible by both numbers.

Least Common Multiple (LCM) of 871 and 877 is 763867.

LCM(871,877) = 763867

LCM of 871 and 877

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

LCM of:
and

Least Common Multiple of 871 and 877

LCM of 871 and 877 is 763867

Least common multiple can be found by multiplying the highest exponent prime factors of 871 and 877. First we will calculate the prime factors of 871 and 877.

Prime Factorization of 871


13 871
67 67
1

Prime factors of 871 are 13,67. Prime factorization of 871 in exponential form is:

871 = 131×671

Prime Factorization of 877


877 877
1

Prime factors of 877 are 877. Prime factorization of 877 in exponential form is:

877 = 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 871 and 877.

LCM(871,877) = 131×671×8771
LCM(871,877) = 763867

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1, 877

Least Common Multiple of 871 and 877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 871 and 877, than apply into the LCM equation.

GCF(871,877) = 1
LCM(871,877) = ( 871 × 877) / 1
LCM(871,877) = 763867 / 1
LCM(871,877) = 763867

Properties of LCM 871 and 877

(i) The LCM of 877 and 871 is associative

LCM of 871 and 877 = LCM of 877 and 871

Related Least Common Multiples of 871

Related Least Common Multiples of 877

Frequently Asked Questions on LCM of 871 and 877

1. What is the LCM of 871 and 877?

Answer: LCM of 871 and 877 is 763867.

2. What are the Factors of 871?

Answer: Factors of 871 are 1, 13, 67, 871. There are 4 integers that are factors of 871. The greatest factor of 871 is 871.

3. What are the Factors of 877?

Answer: Factors of 877 are 1, 877. There are 2 integers that are factors of 877. The greatest factor of 877 is 877.

4. How to Find the LCM of 871 and 877?

Answer:

Least Common Multiple of 871 and 877 = 763867

Step 1: Find the prime factorization of 871

871 = 13 x 67

Step 2: Find the prime factorization of 877

877 = 877

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

LCM = 763867 = 13 x 67 x 877

Step 4: Therefore, the least common multiple of 871 and 877 is 763867.