Least Common Multiple of 863 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 863 and 871 the smallest integer that is 751673 that is divisible by both numbers.

Least Common Multiple (LCM) of 863 and 871 is 751673.

LCM(863,871) = 751673

LCM of 863 and 871

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

LCM of:
and

Least Common Multiple of 863 and 871

LCM of 863 and 871 is 751673

Least common multiple can be found by multiplying the highest exponent prime factors of 863 and 871. First we will calculate the prime factors of 863 and 871.

Prime Factorization of 863


863 863
1

Prime factors of 863 are 863. Prime factorization of 863 in exponential form is:

863 = 8631

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 863 and 871.

LCM(863,871) = 131×671×8631
LCM(863,871) = 751673

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1, 863

Factors of 871

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

1, 13, 67, 871

Least Common Multiple of 863 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 863 and 871, than apply into the LCM equation.

GCF(863,871) = 1
LCM(863,871) = ( 863 × 871) / 1
LCM(863,871) = 751673 / 1
LCM(863,871) = 751673

Properties of LCM 863 and 871

(i) The LCM of 871 and 863 is associative

LCM of 863 and 871 = LCM of 871 and 863

Related Least Common Multiples of 863

Related Least Common Multiples of 871

Frequently Asked Questions on LCM of 863 and 871

1. What is the LCM of 863 and 871?

Answer: LCM of 863 and 871 is 751673.

2. What are the Factors of 863?

Answer: Factors of 863 are 1, 863. There are 2 integers that are factors of 863. The greatest factor of 863 is 863.

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 863 and 871?

Answer:

Least Common Multiple of 863 and 871 = 751673

Step 1: Find the prime factorization of 863

863 = 863

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 = 751673 = 13 x 67 x 863

Step 4: Therefore, the least common multiple of 863 and 871 is 751673.