Least Common Multiple of 881 and 884

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 884 the smallest integer that is 778804 that is divisible by both numbers.

Least Common Multiple (LCM) of 881 and 884 is 778804.

LCM(881,884) = 778804

LCM of 881 and 884

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

LCM of:
and

Least Common Multiple of 881 and 884

LCM of 881 and 884 is 778804

Least common multiple can be found by multiplying the highest exponent prime factors of 881 and 884. First we will calculate the prime factors of 881 and 884.

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 884


2 884
2 442
13 221
17 17
1

Prime factors of 884 are 2, 13,17. Prime factorization of 884 in exponential form is:

884 = 22×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 881 and 884.

LCM(881,884) = 22×131×171×8811
LCM(881,884) = 778804

Factors of 881

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

1, 881

Factors of 884

List of positive integer factors of 884 that divides 884 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Least Common Multiple of 881 and 884 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 884, than apply into the LCM equation.

GCF(881,884) = 1
LCM(881,884) = ( 881 × 884) / 1
LCM(881,884) = 778804 / 1
LCM(881,884) = 778804

Properties of LCM 881 and 884

(i) The LCM of 884 and 881 is associative

LCM of 881 and 884 = LCM of 884 and 881

Related Least Common Multiples of 881

Related Least Common Multiples of 884

Frequently Asked Questions on LCM of 881 and 884

1. What is the LCM of 881 and 884?

Answer: LCM of 881 and 884 is 778804.

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 884?

Answer: Factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884. There are 12 integers that are factors of 884. The greatest factor of 884 is 884.

4. How to Find the LCM of 881 and 884?

Answer:

Least Common Multiple of 881 and 884 = 778804

Step 1: Find the prime factorization of 881

881 = 881

Step 2: Find the prime factorization of 884

884 = 2 x 2 x 13 x 17

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

LCM = 778804 = 2 x 2 x 13 x 17 x 881

Step 4: Therefore, the least common multiple of 881 and 884 is 778804.