Least Common Multiple of 891 and 896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 891 and 896 the smallest integer that is 798336 that is divisible by both numbers.

Least Common Multiple (LCM) of 891 and 896 is 798336.

LCM(891,896) = 798336

LCM of 891 and 896

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

LCM of:
and

Least Common Multiple of 891 and 896

LCM of 891 and 896 is 798336

Least common multiple can be found by multiplying the highest exponent prime factors of 891 and 896. First we will calculate the prime factors of 891 and 896.

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

Prime Factorization of 896


2 896
2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 896 are 2,7. Prime factorization of 896 in exponential form is:

896 = 27×71

Now multiplying the highest exponent prime factors to calculate the LCM of 891 and 896.

LCM(891,896) = 27×34×71×111
LCM(891,896) = 798336

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

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Least Common Multiple of 891 and 896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 891 and 896, than apply into the LCM equation.

GCF(891,896) = 1
LCM(891,896) = ( 891 × 896) / 1
LCM(891,896) = 798336 / 1
LCM(891,896) = 798336

Properties of LCM 891 and 896

(i) The LCM of 896 and 891 is associative

LCM of 891 and 896 = LCM of 896 and 891

Related Least Common Multiples of 891

Related Least Common Multiples of 896

Frequently Asked Questions on LCM of 891 and 896

1. What is the LCM of 891 and 896?

Answer: LCM of 891 and 896 is 798336.

2. 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.

3. What are the Factors of 896?

Answer: Factors of 896 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896. There are 16 integers that are factors of 896. The greatest factor of 896 is 896.

4. How to Find the LCM of 891 and 896?

Answer:

Least Common Multiple of 891 and 896 = 798336

Step 1: Find the prime factorization of 891

891 = 3 x 3 x 3 x 3 x 11

Step 2: Find the prime factorization of 896

896 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

LCM = 798336 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 11

Step 4: Therefore, the least common multiple of 891 and 896 is 798336.