Least Common Multiple of 891 and 892

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 892 the smallest integer that is 794772 that is divisible by both numbers.

Least Common Multiple (LCM) of 891 and 892 is 794772.

LCM(891,892) = 794772

LCM of 891 and 892

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

LCM of:
and

Least Common Multiple of 891 and 892

LCM of 891 and 892 is 794772

Least common multiple can be found by multiplying the highest exponent prime factors of 891 and 892. First we will calculate the prime factors of 891 and 892.

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 892


2 892
2 446
223 223
1

Prime factors of 892 are 2,223. Prime factorization of 892 in exponential form is:

892 = 22×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 891 and 892.

LCM(891,892) = 22×34×111×2231
LCM(891,892) = 794772

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 892

List of positive integer factors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Least Common Multiple of 891 and 892 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 892, than apply into the LCM equation.

GCF(891,892) = 1
LCM(891,892) = ( 891 × 892) / 1
LCM(891,892) = 794772 / 1
LCM(891,892) = 794772

Properties of LCM 891 and 892

(i) The LCM of 892 and 891 is associative

LCM of 891 and 892 = LCM of 892 and 891

Related Least Common Multiples of 891

Related Least Common Multiples of 892

Frequently Asked Questions on LCM of 891 and 892

1. What is the LCM of 891 and 892?

Answer: LCM of 891 and 892 is 794772.

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 892?

Answer: Factors of 892 are 1, 2, 4, 223, 446, 892. There are 6 integers that are factors of 892. The greatest factor of 892 is 892.

4. How to Find the LCM of 891 and 892?

Answer:

Least Common Multiple of 891 and 892 = 794772

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 892

892 = 2 x 2 x 223

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

LCM = 794772 = 2 x 2 x 3 x 3 x 3 x 3 x 11 x 223

Step 4: Therefore, the least common multiple of 891 and 892 is 794772.