Least Common Multiple of 863 and 868

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 868 the smallest integer that is 749084 that is divisible by both numbers.

Least Common Multiple (LCM) of 863 and 868 is 749084.

LCM(863,868) = 749084

LCM of 863 and 868

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

LCM of:
and

Least Common Multiple of 863 and 868

LCM of 863 and 868 is 749084

Least common multiple can be found by multiplying the highest exponent prime factors of 863 and 868. First we will calculate the prime factors of 863 and 868.

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 868


2 868
2 434
7 217
31 31
1

Prime factors of 868 are 2, 7,31. Prime factorization of 868 in exponential form is:

868 = 22×71×311

Now multiplying the highest exponent prime factors to calculate the LCM of 863 and 868.

LCM(863,868) = 22×71×311×8631
LCM(863,868) = 749084

Factors of 863

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

1, 863

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Least Common Multiple of 863 and 868 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 868, than apply into the LCM equation.

GCF(863,868) = 1
LCM(863,868) = ( 863 × 868) / 1
LCM(863,868) = 749084 / 1
LCM(863,868) = 749084

Properties of LCM 863 and 868

(i) The LCM of 868 and 863 is associative

LCM of 863 and 868 = LCM of 868 and 863

Related Least Common Multiples of 863

Related Least Common Multiples of 868

Frequently Asked Questions on LCM of 863 and 868

1. What is the LCM of 863 and 868?

Answer: LCM of 863 and 868 is 749084.

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 868?

Answer: Factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868. There are 12 integers that are factors of 868. The greatest factor of 868 is 868.

4. How to Find the LCM of 863 and 868?

Answer:

Least Common Multiple of 863 and 868 = 749084

Step 1: Find the prime factorization of 863

863 = 863

Step 2: Find the prime factorization of 868

868 = 2 x 2 x 7 x 31

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

LCM = 749084 = 2 x 2 x 7 x 31 x 863

Step 4: Therefore, the least common multiple of 863 and 868 is 749084.