Least Common Multiple of 891 and 899

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 899 the smallest integer that is 801009 that is divisible by both numbers.

Least Common Multiple (LCM) of 891 and 899 is 801009.

LCM(891,899) = 801009

LCM of 891 and 899

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

LCM of:
and

Least Common Multiple of 891 and 899

LCM of 891 and 899 is 801009

Least common multiple can be found by multiplying the highest exponent prime factors of 891 and 899. First we will calculate the prime factors of 891 and 899.

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 899


29 899
31 31
1

Prime factors of 899 are 29,31. Prime factorization of 899 in exponential form is:

899 = 291×311

Now multiplying the highest exponent prime factors to calculate the LCM of 891 and 899.

LCM(891,899) = 34×111×291×311
LCM(891,899) = 801009

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 899

List of positive integer factors of 899 that divides 899 without a remainder.

1, 29, 31, 899

Least Common Multiple of 891 and 899 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 899, than apply into the LCM equation.

GCF(891,899) = 1
LCM(891,899) = ( 891 × 899) / 1
LCM(891,899) = 801009 / 1
LCM(891,899) = 801009

Properties of LCM 891 and 899

(i) The LCM of 899 and 891 is associative

LCM of 891 and 899 = LCM of 899 and 891

Related Least Common Multiples of 891

Related Least Common Multiples of 899

Frequently Asked Questions on LCM of 891 and 899

1. What is the LCM of 891 and 899?

Answer: LCM of 891 and 899 is 801009.

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 899?

Answer: Factors of 899 are 1, 29, 31, 899. There are 4 integers that are factors of 899. The greatest factor of 899 is 899.

4. How to Find the LCM of 891 and 899?

Answer:

Least Common Multiple of 891 and 899 = 801009

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 899

899 = 29 x 31

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

LCM = 801009 = 3 x 3 x 3 x 3 x 11 x 29 x 31

Step 4: Therefore, the least common multiple of 891 and 899 is 801009.