Least Common Multiple of 867 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 867 and 873 the smallest integer that is 252297 that is divisible by both numbers.

Least Common Multiple (LCM) of 867 and 873 is 252297.

LCM(867,873) = 252297

LCM of 867 and 873

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

LCM of:
and

Least Common Multiple of 867 and 873

LCM of 867 and 873 is 252297

Least common multiple can be found by multiplying the highest exponent prime factors of 867 and 873. First we will calculate the prime factors of 867 and 873.

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

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 867 and 873.

LCM(867,873) = 32×172×971
LCM(867,873) = 252297

Factors of 867

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

1, 3, 17, 51, 289, 867

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 867 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 867 and 873, than apply into the LCM equation.

GCF(867,873) = 3
LCM(867,873) = ( 867 × 873) / 3
LCM(867,873) = 756891 / 3
LCM(867,873) = 252297

Properties of LCM 867 and 873

(i) The LCM of 873 and 867 is associative

LCM of 867 and 873 = LCM of 873 and 867

Related Least Common Multiples of 867

Related Least Common Multiples of 873

Frequently Asked Questions on LCM of 867 and 873

1. What is the LCM of 867 and 873?

Answer: LCM of 867 and 873 is 252297.

2. 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.

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 867 and 873?

Answer:

Least Common Multiple of 867 and 873 = 252297

Step 1: Find the prime factorization of 867

867 = 3 x 17 x 17

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 = 252297 = 3 x 3 x 17 x 17 x 97

Step 4: Therefore, the least common multiple of 867 and 873 is 252297.