Least Common Multiple of 6904 and 6909

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 6909 the smallest integer that is 47699736 that is divisible by both numbers.

Least Common Multiple (LCM) of 6904 and 6909 is 47699736.

LCM(6904,6909) = 47699736

LCM of 6904 and 6909

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

LCM of:
and

Least Common Multiple of 6904 and 6909

LCM of 6904 and 6909 is 47699736

Least common multiple can be found by multiplying the highest exponent prime factors of 6904 and 6909. First we will calculate the prime factors of 6904 and 6909.

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 6909


3 6909
7 2303
7 329
47 47
1

Prime factors of 6909 are 3, 7,47. Prime factorization of 6909 in exponential form is:

6909 = 31×72×471

Now multiplying the highest exponent prime factors to calculate the LCM of 6904 and 6909.

LCM(6904,6909) = 23×31×72×471×8631
LCM(6904,6909) = 47699736

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 6909

List of positive integer factors of 6909 that divides 6909 without a remainder.

1, 3, 7, 21, 47, 49, 141, 147, 329, 987, 2303, 6909

Least Common Multiple of 6904 and 6909 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 6909, than apply into the LCM equation.

GCF(6904,6909) = 1
LCM(6904,6909) = ( 6904 × 6909) / 1
LCM(6904,6909) = 47699736 / 1
LCM(6904,6909) = 47699736

Properties of LCM 6904 and 6909

(i) The LCM of 6909 and 6904 is associative

LCM of 6904 and 6909 = LCM of 6909 and 6904

Related Least Common Multiples of 6904

Related Least Common Multiples of 6909

Frequently Asked Questions on LCM of 6904 and 6909

1. What is the LCM of 6904 and 6909?

Answer: LCM of 6904 and 6909 is 47699736.

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 6909?

Answer: Factors of 6909 are 1, 3, 7, 21, 47, 49, 141, 147, 329, 987, 2303, 6909. There are 12 integers that are factors of 6909. The greatest factor of 6909 is 6909.

4. How to Find the LCM of 6904 and 6909?

Answer:

Least Common Multiple of 6904 and 6909 = 47699736

Step 1: Find the prime factorization of 6904

6904 = 2 x 2 x 2 x 863

Step 2: Find the prime factorization of 6909

6909 = 3 x 7 x 7 x 47

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

LCM = 47699736 = 2 x 2 x 2 x 3 x 7 x 7 x 47 x 863

Step 4: Therefore, the least common multiple of 6904 and 6909 is 47699736.