Least Common Multiple of 6880 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 6880 and 6885 the smallest integer that is 9473760 that is divisible by both numbers.

Least Common Multiple (LCM) of 6880 and 6885 is 9473760.

LCM(6880,6885) = 9473760

LCM of 6880 and 6885

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

LCM of:
and

Least Common Multiple of 6880 and 6885

LCM of 6880 and 6885 is 9473760

Least common multiple can be found by multiplying the highest exponent prime factors of 6880 and 6885. First we will calculate the prime factors of 6880 and 6885.

Prime Factorization of 6880


2 6880
2 3440
2 1720
2 860
2 430
5 215
43 43
1

Prime factors of 6880 are 2, 5,43. Prime factorization of 6880 in exponential form is:

6880 = 25×51×431

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 6880 and 6885.

LCM(6880,6885) = 25×34×51×171×431
LCM(6880,6885) = 9473760

Factors of 6880

List of positive integer factors of 6880 that divides 6880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 80, 86, 160, 172, 215, 344, 430, 688, 860, 1376, 1720, 3440, 6880

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 6880 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 6880 and 6885, than apply into the LCM equation.

GCF(6880,6885) = 5
LCM(6880,6885) = ( 6880 × 6885) / 5
LCM(6880,6885) = 47368800 / 5
LCM(6880,6885) = 9473760

Properties of LCM 6880 and 6885

(i) The LCM of 6885 and 6880 is associative

LCM of 6880 and 6885 = LCM of 6885 and 6880

Related Least Common Multiples of 6880

Related Least Common Multiples of 6885

Frequently Asked Questions on LCM of 6880 and 6885

1. What is the LCM of 6880 and 6885?

Answer: LCM of 6880 and 6885 is 9473760.

2. What are the Factors of 6880?

Answer: Factors of 6880 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 80, 86, 160, 172, 215, 344, 430, 688, 860, 1376, 1720, 3440, 6880. There are 24 integers that are factors of 6880. The greatest factor of 6880 is 6880.

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 6880 and 6885?

Answer:

Least Common Multiple of 6880 and 6885 = 9473760

Step 1: Find the prime factorization of 6880

6880 = 2 x 2 x 2 x 2 x 2 x 5 x 43

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 = 9473760 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 17 x 43

Step 4: Therefore, the least common multiple of 6880 and 6885 is 9473760.