Least Common Multiple of 6904 and 6908

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 6908 the smallest integer that is 11923208 that is divisible by both numbers.

Least Common Multiple (LCM) of 6904 and 6908 is 11923208.

LCM(6904,6908) = 11923208

LCM of 6904 and 6908

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

LCM of:
and

Least Common Multiple of 6904 and 6908

LCM of 6904 and 6908 is 11923208

Least common multiple can be found by multiplying the highest exponent prime factors of 6904 and 6908. First we will calculate the prime factors of 6904 and 6908.

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 6908


2 6908
2 3454
11 1727
157 157
1

Prime factors of 6908 are 2, 11,157. Prime factorization of 6908 in exponential form is:

6908 = 22×111×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 6904 and 6908.

LCM(6904,6908) = 23×111×1571×8631
LCM(6904,6908) = 11923208

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 6908

List of positive integer factors of 6908 that divides 6908 without a remainder.

1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908

Least Common Multiple of 6904 and 6908 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 6908, than apply into the LCM equation.

GCF(6904,6908) = 4
LCM(6904,6908) = ( 6904 × 6908) / 4
LCM(6904,6908) = 47692832 / 4
LCM(6904,6908) = 11923208

Properties of LCM 6904 and 6908

(i) The LCM of 6908 and 6904 is associative

LCM of 6904 and 6908 = LCM of 6908 and 6904

Related Least Common Multiples of 6904

Related Least Common Multiples of 6908

Frequently Asked Questions on LCM of 6904 and 6908

1. What is the LCM of 6904 and 6908?

Answer: LCM of 6904 and 6908 is 11923208.

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 6908?

Answer: Factors of 6908 are 1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908. There are 12 integers that are factors of 6908. The greatest factor of 6908 is 6908.

4. How to Find the LCM of 6904 and 6908?

Answer:

Least Common Multiple of 6904 and 6908 = 11923208

Step 1: Find the prime factorization of 6904

6904 = 2 x 2 x 2 x 863

Step 2: Find the prime factorization of 6908

6908 = 2 x 2 x 11 x 157

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

LCM = 11923208 = 2 x 2 x 2 x 11 x 157 x 863

Step 4: Therefore, the least common multiple of 6904 and 6908 is 11923208.