Least Common Multiple of 889 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 889 and 891 the smallest integer that is 792099 that is divisible by both numbers.

Least Common Multiple (LCM) of 889 and 891 is 792099.

LCM(889,891) = 792099

LCM of 889 and 891

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

LCM of:
and

Least Common Multiple of 889 and 891

LCM of 889 and 891 is 792099

Least common multiple can be found by multiplying the highest exponent prime factors of 889 and 891. First we will calculate the prime factors of 889 and 891.

Prime Factorization of 889


7 889
127 127
1

Prime factors of 889 are 7,127. Prime factorization of 889 in exponential form is:

889 = 71×1271

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 889 and 891.

LCM(889,891) = 34×71×111×1271
LCM(889,891) = 792099

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1, 7, 127, 889

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 889 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 889 and 891, than apply into the LCM equation.

GCF(889,891) = 1
LCM(889,891) = ( 889 × 891) / 1
LCM(889,891) = 792099 / 1
LCM(889,891) = 792099

Properties of LCM 889 and 891

(i) The LCM of 891 and 889 is associative

LCM of 889 and 891 = LCM of 891 and 889

Related Least Common Multiples of 889

Related Least Common Multiples of 891

Frequently Asked Questions on LCM of 889 and 891

1. What is the LCM of 889 and 891?

Answer: LCM of 889 and 891 is 792099.

2. What are the Factors of 889?

Answer: Factors of 889 are 1, 7, 127, 889. There are 4 integers that are factors of 889. The greatest factor of 889 is 889.

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 889 and 891?

Answer:

Least Common Multiple of 889 and 891 = 792099

Step 1: Find the prime factorization of 889

889 = 7 x 127

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 = 792099 = 3 x 3 x 3 x 3 x 7 x 11 x 127

Step 4: Therefore, the least common multiple of 889 and 891 is 792099.