Least Common Multiple of 866 and 871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 866 and 871 the smallest integer that is 754286 that is divisible by both numbers.

Least Common Multiple (LCM) of 866 and 871 is 754286.

LCM(866,871) = 754286

LCM of 866 and 871

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

LCM of:
and

Least Common Multiple of 866 and 871

LCM of 866 and 871 is 754286

Least common multiple can be found by multiplying the highest exponent prime factors of 866 and 871. First we will calculate the prime factors of 866 and 871.

Prime Factorization of 866


2 866
433 433
1

Prime factors of 866 are 2,433. Prime factorization of 866 in exponential form is:

866 = 21×4331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 866 and 871.

LCM(866,871) = 21×131×671×4331
LCM(866,871) = 754286

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1, 2, 433, 866

Factors of 871

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

1, 13, 67, 871

Least Common Multiple of 866 and 871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 866 and 871, than apply into the LCM equation.

GCF(866,871) = 1
LCM(866,871) = ( 866 × 871) / 1
LCM(866,871) = 754286 / 1
LCM(866,871) = 754286

Properties of LCM 866 and 871

(i) The LCM of 871 and 866 is associative

LCM of 866 and 871 = LCM of 871 and 866

Related Least Common Multiples of 866

Related Least Common Multiples of 871

Frequently Asked Questions on LCM of 866 and 871

1. What is the LCM of 866 and 871?

Answer: LCM of 866 and 871 is 754286.

2. What are the Factors of 866?

Answer: Factors of 866 are 1, 2, 433, 866. There are 4 integers that are factors of 866. The greatest factor of 866 is 866.

3. 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.

4. How to Find the LCM of 866 and 871?

Answer:

Least Common Multiple of 866 and 871 = 754286

Step 1: Find the prime factorization of 866

866 = 2 x 433

Step 2: Find the prime factorization of 871

871 = 13 x 67

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

LCM = 754286 = 2 x 13 x 67 x 433

Step 4: Therefore, the least common multiple of 866 and 871 is 754286.