Least Common Multiple of 873 and 879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 873 and 879 the smallest integer that is 255789 that is divisible by both numbers.

Least Common Multiple (LCM) of 873 and 879 is 255789.

LCM(873,879) = 255789

LCM of 873 and 879

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

LCM of:
and

Least Common Multiple of 873 and 879

LCM of 873 and 879 is 255789

Least common multiple can be found by multiplying the highest exponent prime factors of 873 and 879. First we will calculate the prime factors of 873 and 879.

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

Prime Factorization of 879


3 879
293 293
1

Prime factors of 879 are 3,293. Prime factorization of 879 in exponential form is:

879 = 31×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 873 and 879.

LCM(873,879) = 32×971×2931
LCM(873,879) = 255789

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Factors of 879

List of positive integer factors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Least Common Multiple of 873 and 879 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 873 and 879, than apply into the LCM equation.

GCF(873,879) = 3
LCM(873,879) = ( 873 × 879) / 3
LCM(873,879) = 767367 / 3
LCM(873,879) = 255789

Properties of LCM 873 and 879

(i) The LCM of 879 and 873 is associative

LCM of 873 and 879 = LCM of 879 and 873

Related Least Common Multiples of 873

Related Least Common Multiples of 879

Frequently Asked Questions on LCM of 873 and 879

1. What is the LCM of 873 and 879?

Answer: LCM of 873 and 879 is 255789.

2. 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.

3. What are the Factors of 879?

Answer: Factors of 879 are 1, 3, 293, 879. There are 4 integers that are factors of 879. The greatest factor of 879 is 879.

4. How to Find the LCM of 873 and 879?

Answer:

Least Common Multiple of 873 and 879 = 255789

Step 1: Find the prime factorization of 873

873 = 3 x 3 x 97

Step 2: Find the prime factorization of 879

879 = 3 x 293

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

LCM = 255789 = 3 x 3 x 97 x 293

Step 4: Therefore, the least common multiple of 873 and 879 is 255789.