Least Common Multiple of 884 and 889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 884 and 889 the smallest integer that is 785876 that is divisible by both numbers.

Least Common Multiple (LCM) of 884 and 889 is 785876.

LCM(884,889) = 785876

LCM of 884 and 889

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

LCM of:
and

Least Common Multiple of 884 and 889

LCM of 884 and 889 is 785876

Least common multiple can be found by multiplying the highest exponent prime factors of 884 and 889. First we will calculate the prime factors of 884 and 889.

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

Prime Factorization of 889


7 889
127 127
1

Prime factors of 889 are 7,127. Prime factorization of 889 in exponential form is:

889 = 71×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 884 and 889.

LCM(884,889) = 22×71×131×171×1271
LCM(884,889) = 785876

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

Factors of 889

List of positive integer factors of 889 that divides 889 without a remainder.

1, 7, 127, 889

Least Common Multiple of 884 and 889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 884 and 889, than apply into the LCM equation.

GCF(884,889) = 1
LCM(884,889) = ( 884 × 889) / 1
LCM(884,889) = 785876 / 1
LCM(884,889) = 785876

Properties of LCM 884 and 889

(i) The LCM of 889 and 884 is associative

LCM of 884 and 889 = LCM of 889 and 884

Related Least Common Multiples of 884

Related Least Common Multiples of 889

Frequently Asked Questions on LCM of 884 and 889

1. What is the LCM of 884 and 889?

Answer: LCM of 884 and 889 is 785876.

2. 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.

3. What are the Factors of 889?

Answer: Factors of 889 are 1, 7, 127, 889. There are 4 integers that are factors of 889. The greatest factor of 889 is 889.

4. How to Find the LCM of 884 and 889?

Answer:

Least Common Multiple of 884 and 889 = 785876

Step 1: Find the prime factorization of 884

884 = 2 x 2 x 13 x 17

Step 2: Find the prime factorization of 889

889 = 7 x 127

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

LCM = 785876 = 2 x 2 x 7 x 13 x 17 x 127

Step 4: Therefore, the least common multiple of 884 and 889 is 785876.