Least Common Multiple of 866 and 873

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 873 the smallest integer that is 756018 that is divisible by both numbers.

Least Common Multiple (LCM) of 866 and 873 is 756018.

LCM(866,873) = 756018

LCM of 866 and 873

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

LCM of:
and

Least Common Multiple of 866 and 873

LCM of 866 and 873 is 756018

Least common multiple can be found by multiplying the highest exponent prime factors of 866 and 873. First we will calculate the prime factors of 866 and 873.

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 873


3 873
3 291
97 97
1

Prime factors of 873 are 3,97. Prime factorization of 873 in exponential form is:

873 = 32×971

Now multiplying the highest exponent prime factors to calculate the LCM of 866 and 873.

LCM(866,873) = 21×32×971×4331
LCM(866,873) = 756018

Factors of 866

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

1, 2, 433, 866

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Least Common Multiple of 866 and 873 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 873, than apply into the LCM equation.

GCF(866,873) = 1
LCM(866,873) = ( 866 × 873) / 1
LCM(866,873) = 756018 / 1
LCM(866,873) = 756018

Properties of LCM 866 and 873

(i) The LCM of 873 and 866 is associative

LCM of 866 and 873 = LCM of 873 and 866

Related Least Common Multiples of 866

Related Least Common Multiples of 873

Frequently Asked Questions on LCM of 866 and 873

1. What is the LCM of 866 and 873?

Answer: LCM of 866 and 873 is 756018.

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 873?

Answer: Factors of 873 are 1, 3, 9, 97, 291, 873. There are 6 integers that are factors of 873. The greatest factor of 873 is 873.

4. How to Find the LCM of 866 and 873?

Answer:

Least Common Multiple of 866 and 873 = 756018

Step 1: Find the prime factorization of 866

866 = 2 x 433

Step 2: Find the prime factorization of 873

873 = 3 x 3 x 97

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

LCM = 756018 = 2 x 3 x 3 x 97 x 433

Step 4: Therefore, the least common multiple of 866 and 873 is 756018.