Least Common Multiple of 6880 and 6886

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 6886 the smallest integer that is 23687840 that is divisible by both numbers.

Least Common Multiple (LCM) of 6880 and 6886 is 23687840.

LCM(6880,6886) = 23687840

LCM of 6880 and 6886

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

LCM of:
and

Least Common Multiple of 6880 and 6886

LCM of 6880 and 6886 is 23687840

Least common multiple can be found by multiplying the highest exponent prime factors of 6880 and 6886. First we will calculate the prime factors of 6880 and 6886.

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 6886


2 6886
11 3443
313 313
1

Prime factors of 6886 are 2, 11,313. Prime factorization of 6886 in exponential form is:

6886 = 21×111×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 6880 and 6886.

LCM(6880,6886) = 25×51×111×431×3131
LCM(6880,6886) = 23687840

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 6886

List of positive integer factors of 6886 that divides 6886 without a remainder.

1, 2, 11, 22, 313, 626, 3443, 6886

Least Common Multiple of 6880 and 6886 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 6886, than apply into the LCM equation.

GCF(6880,6886) = 2
LCM(6880,6886) = ( 6880 × 6886) / 2
LCM(6880,6886) = 47375680 / 2
LCM(6880,6886) = 23687840

Properties of LCM 6880 and 6886

(i) The LCM of 6886 and 6880 is associative

LCM of 6880 and 6886 = LCM of 6886 and 6880

Related Least Common Multiples of 6880

Related Least Common Multiples of 6886

Frequently Asked Questions on LCM of 6880 and 6886

1. What is the LCM of 6880 and 6886?

Answer: LCM of 6880 and 6886 is 23687840.

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 6886?

Answer: Factors of 6886 are 1, 2, 11, 22, 313, 626, 3443, 6886. There are 8 integers that are factors of 6886. The greatest factor of 6886 is 6886.

4. How to Find the LCM of 6880 and 6886?

Answer:

Least Common Multiple of 6880 and 6886 = 23687840

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 6886

6886 = 2 x 11 x 313

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

LCM = 23687840 = 2 x 2 x 2 x 2 x 2 x 5 x 11 x 43 x 313

Step 4: Therefore, the least common multiple of 6880 and 6886 is 23687840.