Least Common Multiple of 888 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 888 and 891 the smallest integer that is 263736 that is divisible by both numbers.

Least Common Multiple (LCM) of 888 and 891 is 263736.

LCM(888,891) = 263736

LCM of 888 and 891

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

LCM of:
and

Least Common Multiple of 888 and 891

LCM of 888 and 891 is 263736

Least common multiple can be found by multiplying the highest exponent prime factors of 888 and 891. First we will calculate the prime factors of 888 and 891.

Prime Factorization of 888


2 888
2 444
2 222
3 111
37 37
1

Prime factors of 888 are 2, 3,37. Prime factorization of 888 in exponential form is:

888 = 23×31×371

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 888 and 891.

LCM(888,891) = 23×34×111×371
LCM(888,891) = 263736

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

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 888 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 888 and 891, than apply into the LCM equation.

GCF(888,891) = 3
LCM(888,891) = ( 888 × 891) / 3
LCM(888,891) = 791208 / 3
LCM(888,891) = 263736

Properties of LCM 888 and 891

(i) The LCM of 891 and 888 is associative

LCM of 888 and 891 = LCM of 891 and 888

Related Least Common Multiples of 888

Related Least Common Multiples of 891

Frequently Asked Questions on LCM of 888 and 891

1. What is the LCM of 888 and 891?

Answer: LCM of 888 and 891 is 263736.

2. What are the Factors of 888?

Answer: Factors of 888 are 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888. There are 16 integers that are factors of 888. The greatest factor of 888 is 888.

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 888 and 891?

Answer:

Least Common Multiple of 888 and 891 = 263736

Step 1: Find the prime factorization of 888

888 = 2 x 2 x 2 x 3 x 37

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 = 263736 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11 x 37

Step 4: Therefore, the least common multiple of 888 and 891 is 263736.