Least Common Multiple of 6898 and 6904

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 6904 the smallest integer that is 23811896 that is divisible by both numbers.

Least Common Multiple (LCM) of 6898 and 6904 is 23811896.

LCM(6898,6904) = 23811896

LCM of 6898 and 6904

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

LCM of:
and

Least Common Multiple of 6898 and 6904

LCM of 6898 and 6904 is 23811896

Least common multiple can be found by multiplying the highest exponent prime factors of 6898 and 6904. First we will calculate the prime factors of 6898 and 6904.

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 6904


2 6904
2 3452
2 1726
863 863
1

Prime factors of 6904 are 2,863. Prime factorization of 6904 in exponential form is:

6904 = 23×8631

Now multiplying the highest exponent prime factors to calculate the LCM of 6898 and 6904.

LCM(6898,6904) = 23×8631×34491
LCM(6898,6904) = 23811896

Factors of 6898

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

1, 2, 3449, 6898

Factors of 6904

List of positive integer factors of 6904 that divides 6904 without a remainder.

1, 2, 4, 8, 863, 1726, 3452, 6904

Least Common Multiple of 6898 and 6904 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 6904, than apply into the LCM equation.

GCF(6898,6904) = 2
LCM(6898,6904) = ( 6898 × 6904) / 2
LCM(6898,6904) = 47623792 / 2
LCM(6898,6904) = 23811896

Properties of LCM 6898 and 6904

(i) The LCM of 6904 and 6898 is associative

LCM of 6898 and 6904 = LCM of 6904 and 6898

Related Least Common Multiples of 6898

Related Least Common Multiples of 6904

Frequently Asked Questions on LCM of 6898 and 6904

1. What is the LCM of 6898 and 6904?

Answer: LCM of 6898 and 6904 is 23811896.

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 6904?

Answer: Factors of 6904 are 1, 2, 4, 8, 863, 1726, 3452, 6904. There are 8 integers that are factors of 6904. The greatest factor of 6904 is 6904.

4. How to Find the LCM of 6898 and 6904?

Answer:

Least Common Multiple of 6898 and 6904 = 23811896

Step 1: Find the prime factorization of 6898

6898 = 2 x 3449

Step 2: Find the prime factorization of 6904

6904 = 2 x 2 x 2 x 863

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

LCM = 23811896 = 2 x 2 x 2 x 863 x 3449

Step 4: Therefore, the least common multiple of 6898 and 6904 is 23811896.