Least Common Multiple of 865 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 865 and 873 the smallest integer that is 755145 that is divisible by both numbers.

Least Common Multiple (LCM) of 865 and 873 is 755145.

LCM(865,873) = 755145

LCM of 865 and 873

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

LCM of:
and

Least Common Multiple of 865 and 873

LCM of 865 and 873 is 755145

Least common multiple can be found by multiplying the highest exponent prime factors of 865 and 873. First we will calculate the prime factors of 865 and 873.

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 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 865 and 873.

LCM(865,873) = 32×51×971×1731
LCM(865,873) = 755145

Factors of 865

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

1, 5, 173, 865

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 865 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 865 and 873, than apply into the LCM equation.

GCF(865,873) = 1
LCM(865,873) = ( 865 × 873) / 1
LCM(865,873) = 755145 / 1
LCM(865,873) = 755145

Properties of LCM 865 and 873

(i) The LCM of 873 and 865 is associative

LCM of 865 and 873 = LCM of 873 and 865

Related Least Common Multiples of 865

Related Least Common Multiples of 873

Frequently Asked Questions on LCM of 865 and 873

1. What is the LCM of 865 and 873?

Answer: LCM of 865 and 873 is 755145.

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 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 865 and 873?

Answer:

Least Common Multiple of 865 and 873 = 755145

Step 1: Find the prime factorization of 865

865 = 5 x 173

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 = 755145 = 3 x 3 x 5 x 97 x 173

Step 4: Therefore, the least common multiple of 865 and 873 is 755145.