Least Common Multiple of 6889 and 6893

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 6893 the smallest integer that is 47485877 that is divisible by both numbers.

Least Common Multiple (LCM) of 6889 and 6893 is 47485877.

LCM(6889,6893) = 47485877

LCM of 6889 and 6893

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

LCM of:
and

Least Common Multiple of 6889 and 6893

LCM of 6889 and 6893 is 47485877

Least common multiple can be found by multiplying the highest exponent prime factors of 6889 and 6893. First we will calculate the prime factors of 6889 and 6893.

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 6893


61 6893
113 113
1

Prime factors of 6893 are 61,113. Prime factorization of 6893 in exponential form is:

6893 = 611×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 6889 and 6893.

LCM(6889,6893) = 611×832×1131
LCM(6889,6893) = 47485877

Factors of 6889

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

1, 83, 6889

Factors of 6893

List of positive integer factors of 6893 that divides 6893 without a remainder.

1, 61, 113, 6893

Least Common Multiple of 6889 and 6893 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 6893, than apply into the LCM equation.

GCF(6889,6893) = 1
LCM(6889,6893) = ( 6889 × 6893) / 1
LCM(6889,6893) = 47485877 / 1
LCM(6889,6893) = 47485877

Properties of LCM 6889 and 6893

(i) The LCM of 6893 and 6889 is associative

LCM of 6889 and 6893 = LCM of 6893 and 6889

Related Least Common Multiples of 6889

Related Least Common Multiples of 6893

Frequently Asked Questions on LCM of 6889 and 6893

1. What is the LCM of 6889 and 6893?

Answer: LCM of 6889 and 6893 is 47485877.

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 6893?

Answer: Factors of 6893 are 1, 61, 113, 6893. There are 4 integers that are factors of 6893. The greatest factor of 6893 is 6893.

4. How to Find the LCM of 6889 and 6893?

Answer:

Least Common Multiple of 6889 and 6893 = 47485877

Step 1: Find the prime factorization of 6889

6889 = 83 x 83

Step 2: Find the prime factorization of 6893

6893 = 61 x 113

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

LCM = 47485877 = 61 x 83 x 83 x 113

Step 4: Therefore, the least common multiple of 6889 and 6893 is 47485877.