Least Common Multiple of 886 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 886 and 891 the smallest integer that is 789426 that is divisible by both numbers.

Least Common Multiple (LCM) of 886 and 891 is 789426.

LCM(886,891) = 789426

LCM of 886 and 891

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

LCM of:
and

Least Common Multiple of 886 and 891

LCM of 886 and 891 is 789426

Least common multiple can be found by multiplying the highest exponent prime factors of 886 and 891. First we will calculate the prime factors of 886 and 891.

Prime Factorization of 886


2 886
443 443
1

Prime factors of 886 are 2,443. Prime factorization of 886 in exponential form is:

886 = 21×4431

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 886 and 891.

LCM(886,891) = 21×34×111×4431
LCM(886,891) = 789426

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1, 2, 443, 886

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 886 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 886 and 891, than apply into the LCM equation.

GCF(886,891) = 1
LCM(886,891) = ( 886 × 891) / 1
LCM(886,891) = 789426 / 1
LCM(886,891) = 789426

Properties of LCM 886 and 891

(i) The LCM of 891 and 886 is associative

LCM of 886 and 891 = LCM of 891 and 886

Related Least Common Multiples of 886

Related Least Common Multiples of 891

Frequently Asked Questions on LCM of 886 and 891

1. What is the LCM of 886 and 891?

Answer: LCM of 886 and 891 is 789426.

2. What are the Factors of 886?

Answer: Factors of 886 are 1, 2, 443, 886. There are 4 integers that are factors of 886. The greatest factor of 886 is 886.

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 886 and 891?

Answer:

Least Common Multiple of 886 and 891 = 789426

Step 1: Find the prime factorization of 886

886 = 2 x 443

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 = 789426 = 2 x 3 x 3 x 3 x 3 x 11 x 443

Step 4: Therefore, the least common multiple of 886 and 891 is 789426.