Least Common Multiple of 863 and 869

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 869 the smallest integer that is 749947 that is divisible by both numbers.

Least Common Multiple (LCM) of 863 and 869 is 749947.

LCM(863,869) = 749947

LCM of 863 and 869

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

LCM of:
and

Least Common Multiple of 863 and 869

LCM of 863 and 869 is 749947

Least common multiple can be found by multiplying the highest exponent prime factors of 863 and 869. First we will calculate the prime factors of 863 and 869.

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 869


11 869
79 79
1

Prime factors of 869 are 11,79. Prime factorization of 869 in exponential form is:

869 = 111×791

Now multiplying the highest exponent prime factors to calculate the LCM of 863 and 869.

LCM(863,869) = 111×791×8631
LCM(863,869) = 749947

Factors of 863

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

1, 863

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Least Common Multiple of 863 and 869 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 869, than apply into the LCM equation.

GCF(863,869) = 1
LCM(863,869) = ( 863 × 869) / 1
LCM(863,869) = 749947 / 1
LCM(863,869) = 749947

Properties of LCM 863 and 869

(i) The LCM of 869 and 863 is associative

LCM of 863 and 869 = LCM of 869 and 863

Related Least Common Multiples of 863

Related Least Common Multiples of 869

Frequently Asked Questions on LCM of 863 and 869

1. What is the LCM of 863 and 869?

Answer: LCM of 863 and 869 is 749947.

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 869?

Answer: Factors of 869 are 1, 11, 79, 869. There are 4 integers that are factors of 869. The greatest factor of 869 is 869.

4. How to Find the LCM of 863 and 869?

Answer:

Least Common Multiple of 863 and 869 = 749947

Step 1: Find the prime factorization of 863

863 = 863

Step 2: Find the prime factorization of 869

869 = 11 x 79

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

LCM = 749947 = 11 x 79 x 863

Step 4: Therefore, the least common multiple of 863 and 869 is 749947.