Least Common Multiple of 879 and 885

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 885 the smallest integer that is 259305 that is divisible by both numbers.

Least Common Multiple (LCM) of 879 and 885 is 259305.

LCM(879,885) = 259305

LCM of 879 and 885

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

LCM of:
and

Least Common Multiple of 879 and 885

LCM of 879 and 885 is 259305

Least common multiple can be found by multiplying the highest exponent prime factors of 879 and 885. First we will calculate the prime factors of 879 and 885.

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 885


3 885
5 295
59 59
1

Prime factors of 885 are 3, 5,59. Prime factorization of 885 in exponential form is:

885 = 31×51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 879 and 885.

LCM(879,885) = 31×51×591×2931
LCM(879,885) = 259305

Factors of 879

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

1, 3, 293, 879

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

Least Common Multiple of 879 and 885 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 885, than apply into the LCM equation.

GCF(879,885) = 3
LCM(879,885) = ( 879 × 885) / 3
LCM(879,885) = 777915 / 3
LCM(879,885) = 259305

Properties of LCM 879 and 885

(i) The LCM of 885 and 879 is associative

LCM of 879 and 885 = LCM of 885 and 879

Related Least Common Multiples of 879

Related Least Common Multiples of 885

Frequently Asked Questions on LCM of 879 and 885

1. What is the LCM of 879 and 885?

Answer: LCM of 879 and 885 is 259305.

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 885?

Answer: Factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885. There are 8 integers that are factors of 885. The greatest factor of 885 is 885.

4. How to Find the LCM of 879 and 885?

Answer:

Least Common Multiple of 879 and 885 = 259305

Step 1: Find the prime factorization of 879

879 = 3 x 293

Step 2: Find the prime factorization of 885

885 = 3 x 5 x 59

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

LCM = 259305 = 3 x 5 x 59 x 293

Step 4: Therefore, the least common multiple of 879 and 885 is 259305.