Least Common Multiple of 871 and 879

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 879 the smallest integer that is 765609 that is divisible by both numbers.

Least Common Multiple (LCM) of 871 and 879 is 765609.

LCM(871,879) = 765609

LCM of 871 and 879

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

LCM of:
and

Least Common Multiple of 871 and 879

LCM of 871 and 879 is 765609

Least common multiple can be found by multiplying the highest exponent prime factors of 871 and 879. First we will calculate the prime factors of 871 and 879.

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 879


3 879
293 293
1

Prime factors of 879 are 3,293. Prime factorization of 879 in exponential form is:

879 = 31×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 871 and 879.

LCM(871,879) = 31×131×671×2931
LCM(871,879) = 765609

Factors of 871

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

1, 13, 67, 871

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Least Common Multiple of 871 and 879 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 879, than apply into the LCM equation.

GCF(871,879) = 1
LCM(871,879) = ( 871 × 879) / 1
LCM(871,879) = 765609 / 1
LCM(871,879) = 765609

Properties of LCM 871 and 879

(i) The LCM of 879 and 871 is associative

LCM of 871 and 879 = LCM of 879 and 871

Related Least Common Multiples of 871

Related Least Common Multiples of 879

Frequently Asked Questions on LCM of 871 and 879

1. What is the LCM of 871 and 879?

Answer: LCM of 871 and 879 is 765609.

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 879?

Answer: Factors of 879 are 1, 3, 293, 879. There are 4 integers that are factors of 879. The greatest factor of 879 is 879.

4. How to Find the LCM of 871 and 879?

Answer:

Least Common Multiple of 871 and 879 = 765609

Step 1: Find the prime factorization of 871

871 = 13 x 67

Step 2: Find the prime factorization of 879

879 = 3 x 293

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

LCM = 765609 = 3 x 13 x 67 x 293

Step 4: Therefore, the least common multiple of 871 and 879 is 765609.