Least Common Multiple of 6904 and 6911

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6904 and 6911 the smallest integer that is 47713544 that is divisible by both numbers.

Least Common Multiple (LCM) of 6904 and 6911 is 47713544.

LCM(6904,6911) = 47713544

LCM of 6904 and 6911

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

LCM of:
and

Least Common Multiple of 6904 and 6911

LCM of 6904 and 6911 is 47713544

Least common multiple can be found by multiplying the highest exponent prime factors of 6904 and 6911. First we will calculate the prime factors of 6904 and 6911.

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

Prime Factorization of 6911


6911 6911
1

Prime factors of 6911 are 6911. Prime factorization of 6911 in exponential form is:

6911 = 69111

Now multiplying the highest exponent prime factors to calculate the LCM of 6904 and 6911.

LCM(6904,6911) = 23×8631×69111
LCM(6904,6911) = 47713544

Factors of 6904

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

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

Factors of 6911

List of positive integer factors of 6911 that divides 6911 without a remainder.

1, 6911

Least Common Multiple of 6904 and 6911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6904 and 6911, than apply into the LCM equation.

GCF(6904,6911) = 1
LCM(6904,6911) = ( 6904 × 6911) / 1
LCM(6904,6911) = 47713544 / 1
LCM(6904,6911) = 47713544

Properties of LCM 6904 and 6911

(i) The LCM of 6911 and 6904 is associative

LCM of 6904 and 6911 = LCM of 6911 and 6904

Related Least Common Multiples of 6904

Related Least Common Multiples of 6911

Frequently Asked Questions on LCM of 6904 and 6911

1. What is the LCM of 6904 and 6911?

Answer: LCM of 6904 and 6911 is 47713544.

2. 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.

3. What are the Factors of 6911?

Answer: Factors of 6911 are 1, 6911. There are 2 integers that are factors of 6911. The greatest factor of 6911 is 6911.

4. How to Find the LCM of 6904 and 6911?

Answer:

Least Common Multiple of 6904 and 6911 = 47713544

Step 1: Find the prime factorization of 6904

6904 = 2 x 2 x 2 x 863

Step 2: Find the prime factorization of 6911

6911 = 6911

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

LCM = 47713544 = 2 x 2 x 2 x 863 x 6911

Step 4: Therefore, the least common multiple of 6904 and 6911 is 47713544.