Least Common Multiple of 881 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 881 and 888 the smallest integer that is 782328 that is divisible by both numbers.

Least Common Multiple (LCM) of 881 and 888 is 782328.

LCM(881,888) = 782328

LCM of 881 and 888

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

LCM of:
and

Least Common Multiple of 881 and 888

LCM of 881 and 888 is 782328

Least common multiple can be found by multiplying the highest exponent prime factors of 881 and 888. First we will calculate the prime factors of 881 and 888.

Prime Factorization of 881


881 881
1

Prime factors of 881 are 881. Prime factorization of 881 in exponential form is:

881 = 8811

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 881 and 888.

LCM(881,888) = 23×31×371×8811
LCM(881,888) = 782328

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1, 881

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 881 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 881 and 888, than apply into the LCM equation.

GCF(881,888) = 1
LCM(881,888) = ( 881 × 888) / 1
LCM(881,888) = 782328 / 1
LCM(881,888) = 782328

Properties of LCM 881 and 888

(i) The LCM of 888 and 881 is associative

LCM of 881 and 888 = LCM of 888 and 881

Related Least Common Multiples of 881

Related Least Common Multiples of 888

Frequently Asked Questions on LCM of 881 and 888

1. What is the LCM of 881 and 888?

Answer: LCM of 881 and 888 is 782328.

2. What are the Factors of 881?

Answer: Factors of 881 are 1, 881. There are 2 integers that are factors of 881. The greatest factor of 881 is 881.

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 881 and 888?

Answer:

Least Common Multiple of 881 and 888 = 782328

Step 1: Find the prime factorization of 881

881 = 881

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 = 782328 = 2 x 2 x 2 x 3 x 37 x 881

Step 4: Therefore, the least common multiple of 881 and 888 is 782328.