Least Common Multiple of 6909 and 6917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6909 and 6917 the smallest integer that is 47789553 that is divisible by both numbers.

Least Common Multiple (LCM) of 6909 and 6917 is 47789553.

LCM(6909,6917) = 47789553

LCM of 6909 and 6917

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

LCM of:
and

Least Common Multiple of 6909 and 6917

LCM of 6909 and 6917 is 47789553

Least common multiple can be found by multiplying the highest exponent prime factors of 6909 and 6917. First we will calculate the prime factors of 6909 and 6917.

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

Prime Factorization of 6917


6917 6917
1

Prime factors of 6917 are 6917. Prime factorization of 6917 in exponential form is:

6917 = 69171

Now multiplying the highest exponent prime factors to calculate the LCM of 6909 and 6917.

LCM(6909,6917) = 31×72×471×69171
LCM(6909,6917) = 47789553

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

Factors of 6917

List of positive integer factors of 6917 that divides 6917 without a remainder.

1, 6917

Least Common Multiple of 6909 and 6917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6909 and 6917, than apply into the LCM equation.

GCF(6909,6917) = 1
LCM(6909,6917) = ( 6909 × 6917) / 1
LCM(6909,6917) = 47789553 / 1
LCM(6909,6917) = 47789553

Properties of LCM 6909 and 6917

(i) The LCM of 6917 and 6909 is associative

LCM of 6909 and 6917 = LCM of 6917 and 6909

Related Least Common Multiples of 6909

Related Least Common Multiples of 6917

Frequently Asked Questions on LCM of 6909 and 6917

1. What is the LCM of 6909 and 6917?

Answer: LCM of 6909 and 6917 is 47789553.

2. 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.

3. What are the Factors of 6917?

Answer: Factors of 6917 are 1, 6917. There are 2 integers that are factors of 6917. The greatest factor of 6917 is 6917.

4. How to Find the LCM of 6909 and 6917?

Answer:

Least Common Multiple of 6909 and 6917 = 47789553

Step 1: Find the prime factorization of 6909

6909 = 3 x 7 x 7 x 47

Step 2: Find the prime factorization of 6917

6917 = 6917

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

LCM = 47789553 = 3 x 7 x 7 x 47 x 6917

Step 4: Therefore, the least common multiple of 6909 and 6917 is 47789553.