Least Common Multiple of 6898 and 6905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6898 and 6905 the smallest integer that is 47630690 that is divisible by both numbers.

Least Common Multiple (LCM) of 6898 and 6905 is 47630690.

LCM(6898,6905) = 47630690

LCM of 6898 and 6905

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

LCM of:
and

Least Common Multiple of 6898 and 6905

LCM of 6898 and 6905 is 47630690

Least common multiple can be found by multiplying the highest exponent prime factors of 6898 and 6905. First we will calculate the prime factors of 6898 and 6905.

Prime Factorization of 6898


2 6898
3449 3449
1

Prime factors of 6898 are 2,3449. Prime factorization of 6898 in exponential form is:

6898 = 21×34491

Prime Factorization of 6905


5 6905
1381 1381
1

Prime factors of 6905 are 5,1381. Prime factorization of 6905 in exponential form is:

6905 = 51×13811

Now multiplying the highest exponent prime factors to calculate the LCM of 6898 and 6905.

LCM(6898,6905) = 21×51×13811×34491
LCM(6898,6905) = 47630690

Factors of 6898

List of positive integer factors of 6898 that divides 6898 without a remainder.

1, 2, 3449, 6898

Factors of 6905

List of positive integer factors of 6905 that divides 6905 without a remainder.

1, 5, 1381, 6905

Least Common Multiple of 6898 and 6905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6898 and 6905, than apply into the LCM equation.

GCF(6898,6905) = 1
LCM(6898,6905) = ( 6898 × 6905) / 1
LCM(6898,6905) = 47630690 / 1
LCM(6898,6905) = 47630690

Properties of LCM 6898 and 6905

(i) The LCM of 6905 and 6898 is associative

LCM of 6898 and 6905 = LCM of 6905 and 6898

Related Least Common Multiples of 6898

Related Least Common Multiples of 6905

Frequently Asked Questions on LCM of 6898 and 6905

1. What is the LCM of 6898 and 6905?

Answer: LCM of 6898 and 6905 is 47630690.

2. What are the Factors of 6898?

Answer: Factors of 6898 are 1, 2, 3449, 6898. There are 4 integers that are factors of 6898. The greatest factor of 6898 is 6898.

3. What are the Factors of 6905?

Answer: Factors of 6905 are 1, 5, 1381, 6905. There are 4 integers that are factors of 6905. The greatest factor of 6905 is 6905.

4. How to Find the LCM of 6898 and 6905?

Answer:

Least Common Multiple of 6898 and 6905 = 47630690

Step 1: Find the prime factorization of 6898

6898 = 2 x 3449

Step 2: Find the prime factorization of 6905

6905 = 5 x 1381

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

LCM = 47630690 = 2 x 5 x 1381 x 3449

Step 4: Therefore, the least common multiple of 6898 and 6905 is 47630690.