Least Common Multiple of 884 and 885

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 885 the smallest integer that is 782340 that is divisible by both numbers.

Least Common Multiple (LCM) of 884 and 885 is 782340.

LCM(884,885) = 782340

LCM of 884 and 885

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

LCM of:
and

Least Common Multiple of 884 and 885

LCM of 884 and 885 is 782340

Least common multiple can be found by multiplying the highest exponent prime factors of 884 and 885. First we will calculate the prime factors of 884 and 885.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 884 and 885.

LCM(884,885) = 22×31×51×131×171×591
LCM(884,885) = 782340

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 885

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

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

Least Common Multiple of 884 and 885 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 885, than apply into the LCM equation.

GCF(884,885) = 1
LCM(884,885) = ( 884 × 885) / 1
LCM(884,885) = 782340 / 1
LCM(884,885) = 782340

Properties of LCM 884 and 885

(i) The LCM of 885 and 884 is associative

LCM of 884 and 885 = LCM of 885 and 884

Related Least Common Multiples of 884

Related Least Common Multiples of 885

Frequently Asked Questions on LCM of 884 and 885

1. What is the LCM of 884 and 885?

Answer: LCM of 884 and 885 is 782340.

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 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.

4. How to Find the LCM of 884 and 885?

Answer:

Least Common Multiple of 884 and 885 = 782340

Step 1: Find the prime factorization of 884

884 = 2 x 2 x 13 x 17

Step 2: Find the prime factorization of 885

885 = 3 x 5 x 59

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

LCM = 782340 = 2 x 2 x 3 x 5 x 13 x 17 x 59

Step 4: Therefore, the least common multiple of 884 and 885 is 782340.