Least Common Multiple of 871 and 873

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 873 the smallest integer that is 760383 that is divisible by both numbers.

Least Common Multiple (LCM) of 871 and 873 is 760383.

LCM(871,873) = 760383

LCM of 871 and 873

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

LCM of:
and

Least Common Multiple of 871 and 873

LCM of 871 and 873 is 760383

Least common multiple can be found by multiplying the highest exponent prime factors of 871 and 873. First we will calculate the prime factors of 871 and 873.

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 873


3 873
3 291
97 97
1

Prime factors of 873 are 3,97. Prime factorization of 873 in exponential form is:

873 = 32×971

Now multiplying the highest exponent prime factors to calculate the LCM of 871 and 873.

LCM(871,873) = 32×131×671×971
LCM(871,873) = 760383

Factors of 871

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

1, 13, 67, 871

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Least Common Multiple of 871 and 873 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 873, than apply into the LCM equation.

GCF(871,873) = 1
LCM(871,873) = ( 871 × 873) / 1
LCM(871,873) = 760383 / 1
LCM(871,873) = 760383

Properties of LCM 871 and 873

(i) The LCM of 873 and 871 is associative

LCM of 871 and 873 = LCM of 873 and 871

Related Least Common Multiples of 871

Related Least Common Multiples of 873

Frequently Asked Questions on LCM of 871 and 873

1. What is the LCM of 871 and 873?

Answer: LCM of 871 and 873 is 760383.

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 873?

Answer: Factors of 873 are 1, 3, 9, 97, 291, 873. There are 6 integers that are factors of 873. The greatest factor of 873 is 873.

4. How to Find the LCM of 871 and 873?

Answer:

Least Common Multiple of 871 and 873 = 760383

Step 1: Find the prime factorization of 871

871 = 13 x 67

Step 2: Find the prime factorization of 873

873 = 3 x 3 x 97

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

LCM = 760383 = 3 x 3 x 13 x 67 x 97

Step 4: Therefore, the least common multiple of 871 and 873 is 760383.