Least Common Multiple of 6884 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 6884 and 6889 the smallest integer that is 47423876 that is divisible by both numbers.

Least Common Multiple (LCM) of 6884 and 6889 is 47423876.

LCM(6884,6889) = 47423876

LCM of 6884 and 6889

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

LCM of:
and

Least Common Multiple of 6884 and 6889

LCM of 6884 and 6889 is 47423876

Least common multiple can be found by multiplying the highest exponent prime factors of 6884 and 6889. First we will calculate the prime factors of 6884 and 6889.

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

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 6884 and 6889.

LCM(6884,6889) = 22×832×17211
LCM(6884,6889) = 47423876

Factors of 6884

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

1, 2, 4, 1721, 3442, 6884

Factors of 6889

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

1, 83, 6889

Least Common Multiple of 6884 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 6884 and 6889, than apply into the LCM equation.

GCF(6884,6889) = 1
LCM(6884,6889) = ( 6884 × 6889) / 1
LCM(6884,6889) = 47423876 / 1
LCM(6884,6889) = 47423876

Properties of LCM 6884 and 6889

(i) The LCM of 6889 and 6884 is associative

LCM of 6884 and 6889 = LCM of 6889 and 6884

Related Least Common Multiples of 6884

Related Least Common Multiples of 6889

Frequently Asked Questions on LCM of 6884 and 6889

1. What is the LCM of 6884 and 6889?

Answer: LCM of 6884 and 6889 is 47423876.

2. 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.

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 6884 and 6889?

Answer:

Least Common Multiple of 6884 and 6889 = 47423876

Step 1: Find the prime factorization of 6884

6884 = 2 x 2 x 1721

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 = 47423876 = 2 x 2 x 83 x 83 x 1721

Step 4: Therefore, the least common multiple of 6884 and 6889 is 47423876.