Least Common Multiple of 866 and 867

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 867 the smallest integer that is 750822 that is divisible by both numbers.

Least Common Multiple (LCM) of 866 and 867 is 750822.

LCM(866,867) = 750822

LCM of 866 and 867

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

LCM of:
and

Least Common Multiple of 866 and 867

LCM of 866 and 867 is 750822

Least common multiple can be found by multiplying the highest exponent prime factors of 866 and 867. First we will calculate the prime factors of 866 and 867.

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 867


3 867
17 289
17 17
1

Prime factors of 867 are 3,17. Prime factorization of 867 in exponential form is:

867 = 31×172

Now multiplying the highest exponent prime factors to calculate the LCM of 866 and 867.

LCM(866,867) = 21×31×172×4331
LCM(866,867) = 750822

Factors of 866

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

1, 2, 433, 866

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Least Common Multiple of 866 and 867 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 867, than apply into the LCM equation.

GCF(866,867) = 1
LCM(866,867) = ( 866 × 867) / 1
LCM(866,867) = 750822 / 1
LCM(866,867) = 750822

Properties of LCM 866 and 867

(i) The LCM of 867 and 866 is associative

LCM of 866 and 867 = LCM of 867 and 866

Related Least Common Multiples of 866

Related Least Common Multiples of 867

Frequently Asked Questions on LCM of 866 and 867

1. What is the LCM of 866 and 867?

Answer: LCM of 866 and 867 is 750822.

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 867?

Answer: Factors of 867 are 1, 3, 17, 51, 289, 867. There are 6 integers that are factors of 867. The greatest factor of 867 is 867.

4. How to Find the LCM of 866 and 867?

Answer:

Least Common Multiple of 866 and 867 = 750822

Step 1: Find the prime factorization of 866

866 = 2 x 433

Step 2: Find the prime factorization of 867

867 = 3 x 17 x 17

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

LCM = 750822 = 2 x 3 x 17 x 17 x 433

Step 4: Therefore, the least common multiple of 866 and 867 is 750822.