Least Common Multiple of 6880 and 6884

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 6884 the smallest integer that is 11840480 that is divisible by both numbers.

Least Common Multiple (LCM) of 6880 and 6884 is 11840480.

LCM(6880,6884) = 11840480

LCM of 6880 and 6884

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

LCM of:
and

Least Common Multiple of 6880 and 6884

LCM of 6880 and 6884 is 11840480

Least common multiple can be found by multiplying the highest exponent prime factors of 6880 and 6884. First we will calculate the prime factors of 6880 and 6884.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 6880 and 6884.

LCM(6880,6884) = 25×51×431×17211
LCM(6880,6884) = 11840480

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 6884

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

1, 2, 4, 1721, 3442, 6884

Least Common Multiple of 6880 and 6884 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 6884, than apply into the LCM equation.

GCF(6880,6884) = 4
LCM(6880,6884) = ( 6880 × 6884) / 4
LCM(6880,6884) = 47361920 / 4
LCM(6880,6884) = 11840480

Properties of LCM 6880 and 6884

(i) The LCM of 6884 and 6880 is associative

LCM of 6880 and 6884 = LCM of 6884 and 6880

Related Least Common Multiples of 6880

Related Least Common Multiples of 6884

Frequently Asked Questions on LCM of 6880 and 6884

1. What is the LCM of 6880 and 6884?

Answer: LCM of 6880 and 6884 is 11840480.

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 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.

4. How to Find the LCM of 6880 and 6884?

Answer:

Least Common Multiple of 6880 and 6884 = 11840480

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 6884

6884 = 2 x 2 x 1721

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

LCM = 11840480 = 2 x 2 x 2 x 2 x 2 x 5 x 43 x 1721

Step 4: Therefore, the least common multiple of 6880 and 6884 is 11840480.