Least Common Multiple of 887 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 887 and 891 the smallest integer that is 790317 that is divisible by both numbers.

Least Common Multiple (LCM) of 887 and 891 is 790317.

LCM(887,891) = 790317

LCM of 887 and 891

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

LCM of:
and

Least Common Multiple of 887 and 891

LCM of 887 and 891 is 790317

Least common multiple can be found by multiplying the highest exponent prime factors of 887 and 891. First we will calculate the prime factors of 887 and 891.

Prime Factorization of 887


887 887
1

Prime factors of 887 are 887. Prime factorization of 887 in exponential form is:

887 = 8871

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 887 and 891.

LCM(887,891) = 34×111×8871
LCM(887,891) = 790317

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1, 887

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 887 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 887 and 891, than apply into the LCM equation.

GCF(887,891) = 1
LCM(887,891) = ( 887 × 891) / 1
LCM(887,891) = 790317 / 1
LCM(887,891) = 790317

Properties of LCM 887 and 891

(i) The LCM of 891 and 887 is associative

LCM of 887 and 891 = LCM of 891 and 887

Related Least Common Multiples of 887

Related Least Common Multiples of 891

Frequently Asked Questions on LCM of 887 and 891

1. What is the LCM of 887 and 891?

Answer: LCM of 887 and 891 is 790317.

2. What are the Factors of 887?

Answer: Factors of 887 are 1, 887. There are 2 integers that are factors of 887. The greatest factor of 887 is 887.

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 887 and 891?

Answer:

Least Common Multiple of 887 and 891 = 790317

Step 1: Find the prime factorization of 887

887 = 887

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 = 790317 = 3 x 3 x 3 x 3 x 11 x 887

Step 4: Therefore, the least common multiple of 887 and 891 is 790317.