Least Common Multiple of 885 and 888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 885 and 888 the smallest integer that is 261960 that is divisible by both numbers.

Least Common Multiple (LCM) of 885 and 888 is 261960.

LCM(885,888) = 261960

LCM of 885 and 888

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

LCM of:
and

Least Common Multiple of 885 and 888

LCM of 885 and 888 is 261960

Least common multiple can be found by multiplying the highest exponent prime factors of 885 and 888. First we will calculate the prime factors of 885 and 888.

Prime Factorization of 885


3 885
5 295
59 59
1

Prime factors of 885 are 3, 5,59. Prime factorization of 885 in exponential form is:

885 = 31×51×591

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

Now multiplying the highest exponent prime factors to calculate the LCM of 885 and 888.

LCM(885,888) = 23×31×51×371×591
LCM(885,888) = 261960

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1, 3, 5, 15, 59, 177, 295, 885

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

Least Common Multiple of 885 and 888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 885 and 888, than apply into the LCM equation.

GCF(885,888) = 3
LCM(885,888) = ( 885 × 888) / 3
LCM(885,888) = 785880 / 3
LCM(885,888) = 261960

Properties of LCM 885 and 888

(i) The LCM of 888 and 885 is associative

LCM of 885 and 888 = LCM of 888 and 885

Related Least Common Multiples of 885

Related Least Common Multiples of 888

Frequently Asked Questions on LCM of 885 and 888

1. What is the LCM of 885 and 888?

Answer: LCM of 885 and 888 is 261960.

2. What are the Factors of 885?

Answer: Factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885. There are 8 integers that are factors of 885. The greatest factor of 885 is 885.

3. 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.

4. How to Find the LCM of 885 and 888?

Answer:

Least Common Multiple of 885 and 888 = 261960

Step 1: Find the prime factorization of 885

885 = 3 x 5 x 59

Step 2: Find the prime factorization of 888

888 = 2 x 2 x 2 x 3 x 37

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

LCM = 261960 = 2 x 2 x 2 x 3 x 5 x 37 x 59

Step 4: Therefore, the least common multiple of 885 and 888 is 261960.