Least Common Multiple of 861 and 863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 861 and 863 the smallest integer that is 743043 that is divisible by both numbers.

Least Common Multiple (LCM) of 861 and 863 is 743043.

LCM(861,863) = 743043

LCM of 861 and 863

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

LCM of:
and

Least Common Multiple of 861 and 863

LCM of 861 and 863 is 743043

Least common multiple can be found by multiplying the highest exponent prime factors of 861 and 863. First we will calculate the prime factors of 861 and 863.

Prime Factorization of 861


3 861
7 287
41 41
1

Prime factors of 861 are 3, 7,41. Prime factorization of 861 in exponential form is:

861 = 31×71×411

Prime Factorization of 863


863 863
1

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

863 = 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 861 and 863.

LCM(861,863) = 31×71×411×8631
LCM(861,863) = 743043

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Factors of 863

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

1, 863

Least Common Multiple of 861 and 863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 861 and 863, than apply into the LCM equation.

GCF(861,863) = 1
LCM(861,863) = ( 861 × 863) / 1
LCM(861,863) = 743043 / 1
LCM(861,863) = 743043

Properties of LCM 861 and 863

(i) The LCM of 863 and 861 is associative

LCM of 861 and 863 = LCM of 863 and 861

Related Least Common Multiples of 861

Related Least Common Multiples of 863

Frequently Asked Questions on LCM of 861 and 863

1. What is the LCM of 861 and 863?

Answer: LCM of 861 and 863 is 743043.

2. What are the Factors of 861?

Answer: Factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861. There are 8 integers that are factors of 861. The greatest factor of 861 is 861.

3. 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.

4. How to Find the LCM of 861 and 863?

Answer:

Least Common Multiple of 861 and 863 = 743043

Step 1: Find the prime factorization of 861

861 = 3 x 7 x 41

Step 2: Find the prime factorization of 863

863 = 863

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

LCM = 743043 = 3 x 7 x 41 x 863

Step 4: Therefore, the least common multiple of 861 and 863 is 743043.