Least Common Multiple of 885 and 891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 885 and 891 the smallest integer that is 262845 that is divisible by both numbers.

Least Common Multiple (LCM) of 885 and 891 is 262845.

LCM(885,891) = 262845

LCM of 885 and 891

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

LCM of:
and

Least Common Multiple of 885 and 891

LCM of 885 and 891 is 262845

Least common multiple can be found by multiplying the highest exponent prime factors of 885 and 891. First we will calculate the prime factors of 885 and 891.

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

Prime Factorization of 891


3 891
3 297
3 99
3 33
11 11
1

Prime factors of 891 are 3,11. Prime factorization of 891 in exponential form is:

891 = 34×111

Now multiplying the highest exponent prime factors to calculate the LCM of 885 and 891.

LCM(885,891) = 34×51×111×591
LCM(885,891) = 262845

Factors of 885

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

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

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Least Common Multiple of 885 and 891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 885 and 891, than apply into the LCM equation.

GCF(885,891) = 3
LCM(885,891) = ( 885 × 891) / 3
LCM(885,891) = 788535 / 3
LCM(885,891) = 262845

Properties of LCM 885 and 891

(i) The LCM of 891 and 885 is associative

LCM of 885 and 891 = LCM of 891 and 885

Related Least Common Multiples of 885

Related Least Common Multiples of 891

Frequently Asked Questions on LCM of 885 and 891

1. What is the LCM of 885 and 891?

Answer: LCM of 885 and 891 is 262845.

2. 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.

3. What are the Factors of 891?

Answer: Factors of 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891. There are 10 integers that are factors of 891. The greatest factor of 891 is 891.

4. How to Find the LCM of 885 and 891?

Answer:

Least Common Multiple of 885 and 891 = 262845

Step 1: Find the prime factorization of 885

885 = 3 x 5 x 59

Step 2: Find the prime factorization of 891

891 = 3 x 3 x 3 x 3 x 11

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

LCM = 262845 = 3 x 3 x 3 x 3 x 5 x 11 x 59

Step 4: Therefore, the least common multiple of 885 and 891 is 262845.