Least Common Multiple of 865 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 865 and 867 the smallest integer that is 749955 that is divisible by both numbers.

Least Common Multiple (LCM) of 865 and 867 is 749955.

LCM(865,867) = 749955

LCM of 865 and 867

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

LCM of:
and

Least Common Multiple of 865 and 867

LCM of 865 and 867 is 749955

Least common multiple can be found by multiplying the highest exponent prime factors of 865 and 867. First we will calculate the prime factors of 865 and 867.

Prime Factorization of 865


5 865
173 173
1

Prime factors of 865 are 5,173. Prime factorization of 865 in exponential form is:

865 = 51×1731

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 865 and 867.

LCM(865,867) = 31×51×172×1731
LCM(865,867) = 749955

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1, 5, 173, 865

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 865 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 865 and 867, than apply into the LCM equation.

GCF(865,867) = 1
LCM(865,867) = ( 865 × 867) / 1
LCM(865,867) = 749955 / 1
LCM(865,867) = 749955

Properties of LCM 865 and 867

(i) The LCM of 867 and 865 is associative

LCM of 865 and 867 = LCM of 867 and 865

Related Least Common Multiples of 865

Related Least Common Multiples of 867

Frequently Asked Questions on LCM of 865 and 867

1. What is the LCM of 865 and 867?

Answer: LCM of 865 and 867 is 749955.

2. What are the Factors of 865?

Answer: Factors of 865 are 1, 5, 173, 865. There are 4 integers that are factors of 865. The greatest factor of 865 is 865.

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 865 and 867?

Answer:

Least Common Multiple of 865 and 867 = 749955

Step 1: Find the prime factorization of 865

865 = 5 x 173

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 = 749955 = 3 x 5 x 17 x 17 x 173

Step 4: Therefore, the least common multiple of 865 and 867 is 749955.