Least Common Multiple of 891 and 895

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 895 the smallest integer that is 797445 that is divisible by both numbers.

Least Common Multiple (LCM) of 891 and 895 is 797445.

LCM(891,895) = 797445

LCM of 891 and 895

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

LCM of:
and

Least Common Multiple of 891 and 895

LCM of 891 and 895 is 797445

Least common multiple can be found by multiplying the highest exponent prime factors of 891 and 895. First we will calculate the prime factors of 891 and 895.

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 895


5 895
179 179
1

Prime factors of 895 are 5,179. Prime factorization of 895 in exponential form is:

895 = 51×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 891 and 895.

LCM(891,895) = 34×51×111×1791
LCM(891,895) = 797445

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 895

List of positive integer factors of 895 that divides 895 without a remainder.

1, 5, 179, 895

Least Common Multiple of 891 and 895 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 895, than apply into the LCM equation.

GCF(891,895) = 1
LCM(891,895) = ( 891 × 895) / 1
LCM(891,895) = 797445 / 1
LCM(891,895) = 797445

Properties of LCM 891 and 895

(i) The LCM of 895 and 891 is associative

LCM of 891 and 895 = LCM of 895 and 891

Related Least Common Multiples of 891

Related Least Common Multiples of 895

Frequently Asked Questions on LCM of 891 and 895

1. What is the LCM of 891 and 895?

Answer: LCM of 891 and 895 is 797445.

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 895?

Answer: Factors of 895 are 1, 5, 179, 895. There are 4 integers that are factors of 895. The greatest factor of 895 is 895.

4. How to Find the LCM of 891 and 895?

Answer:

Least Common Multiple of 891 and 895 = 797445

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 895

895 = 5 x 179

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

LCM = 797445 = 3 x 3 x 3 x 3 x 5 x 11 x 179

Step 4: Therefore, the least common multiple of 891 and 895 is 797445.