Least Common Multiple of 871 and 872

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 872 the smallest integer that is 759512 that is divisible by both numbers.

Least Common Multiple (LCM) of 871 and 872 is 759512.

LCM(871,872) = 759512

LCM of 871 and 872

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

LCM of:
and

Least Common Multiple of 871 and 872

LCM of 871 and 872 is 759512

Least common multiple can be found by multiplying the highest exponent prime factors of 871 and 872. First we will calculate the prime factors of 871 and 872.

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 872


2 872
2 436
2 218
109 109
1

Prime factors of 872 are 2,109. Prime factorization of 872 in exponential form is:

872 = 23×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 871 and 872.

LCM(871,872) = 23×131×671×1091
LCM(871,872) = 759512

Factors of 871

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

1, 13, 67, 871

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Least Common Multiple of 871 and 872 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 872, than apply into the LCM equation.

GCF(871,872) = 1
LCM(871,872) = ( 871 × 872) / 1
LCM(871,872) = 759512 / 1
LCM(871,872) = 759512

Properties of LCM 871 and 872

(i) The LCM of 872 and 871 is associative

LCM of 871 and 872 = LCM of 872 and 871

Related Least Common Multiples of 871

Related Least Common Multiples of 872

Frequently Asked Questions on LCM of 871 and 872

1. What is the LCM of 871 and 872?

Answer: LCM of 871 and 872 is 759512.

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 872?

Answer: Factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872. There are 8 integers that are factors of 872. The greatest factor of 872 is 872.

4. How to Find the LCM of 871 and 872?

Answer:

Least Common Multiple of 871 and 872 = 759512

Step 1: Find the prime factorization of 871

871 = 13 x 67

Step 2: Find the prime factorization of 872

872 = 2 x 2 x 2 x 109

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

LCM = 759512 = 2 x 2 x 2 x 13 x 67 x 109

Step 4: Therefore, the least common multiple of 871 and 872 is 759512.