Least Common Multiple of 6884 and 6885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6884 and 6885 the smallest integer that is 47396340 that is divisible by both numbers.

Least Common Multiple (LCM) of 6884 and 6885 is 47396340.

LCM(6884,6885) = 47396340

LCM of 6884 and 6885

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

LCM of:
and

Least Common Multiple of 6884 and 6885

LCM of 6884 and 6885 is 47396340

Least common multiple can be found by multiplying the highest exponent prime factors of 6884 and 6885. First we will calculate the prime factors of 6884 and 6885.

Prime Factorization of 6884


2 6884
2 3442
1721 1721
1

Prime factors of 6884 are 2,1721. Prime factorization of 6884 in exponential form is:

6884 = 22×17211

Prime Factorization of 6885


3 6885
3 2295
3 765
3 255
5 85
17 17
1

Prime factors of 6885 are 3, 5,17. Prime factorization of 6885 in exponential form is:

6885 = 34×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 6884 and 6885.

LCM(6884,6885) = 22×34×51×171×17211
LCM(6884,6885) = 47396340

Factors of 6884

List of positive integer factors of 6884 that divides 6884 without a remainder.

1, 2, 4, 1721, 3442, 6884

Factors of 6885

List of positive integer factors of 6885 that divides 6885 without a remainder.

1, 3, 5, 9, 15, 17, 27, 45, 51, 81, 85, 135, 153, 255, 405, 459, 765, 1377, 2295, 6885

Least Common Multiple of 6884 and 6885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6884 and 6885, than apply into the LCM equation.

GCF(6884,6885) = 1
LCM(6884,6885) = ( 6884 × 6885) / 1
LCM(6884,6885) = 47396340 / 1
LCM(6884,6885) = 47396340

Properties of LCM 6884 and 6885

(i) The LCM of 6885 and 6884 is associative

LCM of 6884 and 6885 = LCM of 6885 and 6884

Related Least Common Multiples of 6884

Related Least Common Multiples of 6885

Frequently Asked Questions on LCM of 6884 and 6885

1. What is the LCM of 6884 and 6885?

Answer: LCM of 6884 and 6885 is 47396340.

2. What are the Factors of 6884?

Answer: Factors of 6884 are 1, 2, 4, 1721, 3442, 6884. There are 6 integers that are factors of 6884. The greatest factor of 6884 is 6884.

3. What are the Factors of 6885?

Answer: Factors of 6885 are 1, 3, 5, 9, 15, 17, 27, 45, 51, 81, 85, 135, 153, 255, 405, 459, 765, 1377, 2295, 6885. There are 20 integers that are factors of 6885. The greatest factor of 6885 is 6885.

4. How to Find the LCM of 6884 and 6885?

Answer:

Least Common Multiple of 6884 and 6885 = 47396340

Step 1: Find the prime factorization of 6884

6884 = 2 x 2 x 1721

Step 2: Find the prime factorization of 6885

6885 = 3 x 3 x 3 x 3 x 5 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 = 47396340 = 2 x 2 x 3 x 3 x 3 x 3 x 5 x 17 x 1721

Step 4: Therefore, the least common multiple of 6884 and 6885 is 47396340.