Least Common Multiple of 879 and 884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 879 and 884 the smallest integer that is 777036 that is divisible by both numbers.

Least Common Multiple (LCM) of 879 and 884 is 777036.

LCM(879,884) = 777036

LCM of 879 and 884

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

LCM of:
and

Least Common Multiple of 879 and 884

LCM of 879 and 884 is 777036

Least common multiple can be found by multiplying the highest exponent prime factors of 879 and 884. First we will calculate the prime factors of 879 and 884.

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

Prime Factorization of 884


2 884
2 442
13 221
17 17
1

Prime factors of 884 are 2, 13,17. Prime factorization of 884 in exponential form is:

884 = 22×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 879 and 884.

LCM(879,884) = 22×31×131×171×2931
LCM(879,884) = 777036

Factors of 879

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

1, 3, 293, 879

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Least Common Multiple of 879 and 884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 879 and 884, than apply into the LCM equation.

GCF(879,884) = 1
LCM(879,884) = ( 879 × 884) / 1
LCM(879,884) = 777036 / 1
LCM(879,884) = 777036

Properties of LCM 879 and 884

(i) The LCM of 884 and 879 is associative

LCM of 879 and 884 = LCM of 884 and 879

Related Least Common Multiples of 879

Related Least Common Multiples of 884

Frequently Asked Questions on LCM of 879 and 884

1. What is the LCM of 879 and 884?

Answer: LCM of 879 and 884 is 777036.

2. 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.

3. What are the Factors of 884?

Answer: Factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884. There are 12 integers that are factors of 884. The greatest factor of 884 is 884.

4. How to Find the LCM of 879 and 884?

Answer:

Least Common Multiple of 879 and 884 = 777036

Step 1: Find the prime factorization of 879

879 = 3 x 293

Step 2: Find the prime factorization of 884

884 = 2 x 2 x 13 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 = 777036 = 2 x 2 x 3 x 13 x 17 x 293

Step 4: Therefore, the least common multiple of 879 and 884 is 777036.