Least Common Multiple of 6881 and 6889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6881 and 6889 the smallest integer that is 47403209 that is divisible by both numbers.

Least Common Multiple (LCM) of 6881 and 6889 is 47403209.

LCM(6881,6889) = 47403209

LCM of 6881 and 6889

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

LCM of:
and

Least Common Multiple of 6881 and 6889

LCM of 6881 and 6889 is 47403209

Least common multiple can be found by multiplying the highest exponent prime factors of 6881 and 6889. First we will calculate the prime factors of 6881 and 6889.

Prime Factorization of 6881


7 6881
983 983
1

Prime factors of 6881 are 7,983. Prime factorization of 6881 in exponential form is:

6881 = 71×9831

Prime Factorization of 6889


83 6889
83 83
1

Prime factors of 6889 are 83. Prime factorization of 6889 in exponential form is:

6889 = 832

Now multiplying the highest exponent prime factors to calculate the LCM of 6881 and 6889.

LCM(6881,6889) = 71×832×9831
LCM(6881,6889) = 47403209

Factors of 6881

List of positive integer factors of 6881 that divides 6881 without a remainder.

1, 7, 983, 6881

Factors of 6889

List of positive integer factors of 6889 that divides 6889 without a remainder.

1, 83, 6889

Least Common Multiple of 6881 and 6889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6881 and 6889, than apply into the LCM equation.

GCF(6881,6889) = 1
LCM(6881,6889) = ( 6881 × 6889) / 1
LCM(6881,6889) = 47403209 / 1
LCM(6881,6889) = 47403209

Properties of LCM 6881 and 6889

(i) The LCM of 6889 and 6881 is associative

LCM of 6881 and 6889 = LCM of 6889 and 6881

Related Least Common Multiples of 6881

Related Least Common Multiples of 6889

Frequently Asked Questions on LCM of 6881 and 6889

1. What is the LCM of 6881 and 6889?

Answer: LCM of 6881 and 6889 is 47403209.

2. What are the Factors of 6881?

Answer: Factors of 6881 are 1, 7, 983, 6881. There are 4 integers that are factors of 6881. The greatest factor of 6881 is 6881.

3. What are the Factors of 6889?

Answer: Factors of 6889 are 1, 83, 6889. There are 3 integers that are factors of 6889. The greatest factor of 6889 is 6889.

4. How to Find the LCM of 6881 and 6889?

Answer:

Least Common Multiple of 6881 and 6889 = 47403209

Step 1: Find the prime factorization of 6881

6881 = 7 x 983

Step 2: Find the prime factorization of 6889

6889 = 83 x 83

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

LCM = 47403209 = 7 x 83 x 83 x 983

Step 4: Therefore, the least common multiple of 6881 and 6889 is 47403209.