Least Common Multiple of 6889 and 6891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6889 and 6891 the smallest integer that is 47472099 that is divisible by both numbers.

Least Common Multiple (LCM) of 6889 and 6891 is 47472099.

LCM(6889,6891) = 47472099

LCM of 6889 and 6891

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

LCM of:
and

Least Common Multiple of 6889 and 6891

LCM of 6889 and 6891 is 47472099

Least common multiple can be found by multiplying the highest exponent prime factors of 6889 and 6891. First we will calculate the prime factors of 6889 and 6891.

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

Prime Factorization of 6891


3 6891
2297 2297
1

Prime factors of 6891 are 3,2297. Prime factorization of 6891 in exponential form is:

6891 = 31×22971

Now multiplying the highest exponent prime factors to calculate the LCM of 6889 and 6891.

LCM(6889,6891) = 31×832×22971
LCM(6889,6891) = 47472099

Factors of 6889

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

1, 83, 6889

Factors of 6891

List of positive integer factors of 6891 that divides 6891 without a remainder.

1, 3, 2297, 6891

Least Common Multiple of 6889 and 6891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6889 and 6891, than apply into the LCM equation.

GCF(6889,6891) = 1
LCM(6889,6891) = ( 6889 × 6891) / 1
LCM(6889,6891) = 47472099 / 1
LCM(6889,6891) = 47472099

Properties of LCM 6889 and 6891

(i) The LCM of 6891 and 6889 is associative

LCM of 6889 and 6891 = LCM of 6891 and 6889

Related Least Common Multiples of 6889

Related Least Common Multiples of 6891

Frequently Asked Questions on LCM of 6889 and 6891

1. What is the LCM of 6889 and 6891?

Answer: LCM of 6889 and 6891 is 47472099.

2. 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.

3. What are the Factors of 6891?

Answer: Factors of 6891 are 1, 3, 2297, 6891. There are 4 integers that are factors of 6891. The greatest factor of 6891 is 6891.

4. How to Find the LCM of 6889 and 6891?

Answer:

Least Common Multiple of 6889 and 6891 = 47472099

Step 1: Find the prime factorization of 6889

6889 = 83 x 83

Step 2: Find the prime factorization of 6891

6891 = 3 x 2297

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

LCM = 47472099 = 3 x 83 x 83 x 2297

Step 4: Therefore, the least common multiple of 6889 and 6891 is 47472099.