Least Common Multiple of 6880 and 6887

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 6887 the smallest integer that is 47382560 that is divisible by both numbers.

Least Common Multiple (LCM) of 6880 and 6887 is 47382560.

LCM(6880,6887) = 47382560

LCM of 6880 and 6887

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

LCM of:
and

Least Common Multiple of 6880 and 6887

LCM of 6880 and 6887 is 47382560

Least common multiple can be found by multiplying the highest exponent prime factors of 6880 and 6887. First we will calculate the prime factors of 6880 and 6887.

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 6887


71 6887
97 97
1

Prime factors of 6887 are 71,97. Prime factorization of 6887 in exponential form is:

6887 = 711×971

Now multiplying the highest exponent prime factors to calculate the LCM of 6880 and 6887.

LCM(6880,6887) = 25×51×431×711×971
LCM(6880,6887) = 47382560

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 6887

List of positive integer factors of 6887 that divides 6887 without a remainder.

1, 71, 97, 6887

Least Common Multiple of 6880 and 6887 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 6887, than apply into the LCM equation.

GCF(6880,6887) = 1
LCM(6880,6887) = ( 6880 × 6887) / 1
LCM(6880,6887) = 47382560 / 1
LCM(6880,6887) = 47382560

Properties of LCM 6880 and 6887

(i) The LCM of 6887 and 6880 is associative

LCM of 6880 and 6887 = LCM of 6887 and 6880

Related Least Common Multiples of 6880

Related Least Common Multiples of 6887

Frequently Asked Questions on LCM of 6880 and 6887

1. What is the LCM of 6880 and 6887?

Answer: LCM of 6880 and 6887 is 47382560.

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 6887?

Answer: Factors of 6887 are 1, 71, 97, 6887. There are 4 integers that are factors of 6887. The greatest factor of 6887 is 6887.

4. How to Find the LCM of 6880 and 6887?

Answer:

Least Common Multiple of 6880 and 6887 = 47382560

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 6887

6887 = 71 x 97

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

LCM = 47382560 = 2 x 2 x 2 x 2 x 2 x 5 x 43 x 71 x 97

Step 4: Therefore, the least common multiple of 6880 and 6887 is 47382560.