Least Common Multiple of 869 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 869 and 873 the smallest integer that is 758637 that is divisible by both numbers.

Least Common Multiple (LCM) of 869 and 873 is 758637.

LCM(869,873) = 758637

LCM of 869 and 873

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

LCM of:
and

Least Common Multiple of 869 and 873

LCM of 869 and 873 is 758637

Least common multiple can be found by multiplying the highest exponent prime factors of 869 and 873. First we will calculate the prime factors of 869 and 873.

Prime Factorization of 869


11 869
79 79
1

Prime factors of 869 are 11,79. Prime factorization of 869 in exponential form is:

869 = 111×791

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 869 and 873.

LCM(869,873) = 32×111×791×971
LCM(869,873) = 758637

Factors of 869

List of positive integer factors of 869 that divides 869 without a remainder.

1, 11, 79, 869

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 869 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 869 and 873, than apply into the LCM equation.

GCF(869,873) = 1
LCM(869,873) = ( 869 × 873) / 1
LCM(869,873) = 758637 / 1
LCM(869,873) = 758637

Properties of LCM 869 and 873

(i) The LCM of 873 and 869 is associative

LCM of 869 and 873 = LCM of 873 and 869

Related Least Common Multiples of 869

Related Least Common Multiples of 873

Frequently Asked Questions on LCM of 869 and 873

1. What is the LCM of 869 and 873?

Answer: LCM of 869 and 873 is 758637.

2. What are the Factors of 869?

Answer: Factors of 869 are 1, 11, 79, 869. There are 4 integers that are factors of 869. The greatest factor of 869 is 869.

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 869 and 873?

Answer:

Least Common Multiple of 869 and 873 = 758637

Step 1: Find the prime factorization of 869

869 = 11 x 79

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 = 758637 = 3 x 3 x 11 x 79 x 97

Step 4: Therefore, the least common multiple of 869 and 873 is 758637.