Least Common Multiple of 6909 and 6914

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 6914 the smallest integer that is 47768826 that is divisible by both numbers.

Least Common Multiple (LCM) of 6909 and 6914 is 47768826.

LCM(6909,6914) = 47768826

LCM of 6909 and 6914

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

LCM of:
and

Least Common Multiple of 6909 and 6914

LCM of 6909 and 6914 is 47768826

Least common multiple can be found by multiplying the highest exponent prime factors of 6909 and 6914. First we will calculate the prime factors of 6909 and 6914.

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 6914


2 6914
3457 3457
1

Prime factors of 6914 are 2,3457. Prime factorization of 6914 in exponential form is:

6914 = 21×34571

Now multiplying the highest exponent prime factors to calculate the LCM of 6909 and 6914.

LCM(6909,6914) = 21×31×72×471×34571
LCM(6909,6914) = 47768826

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 6914

List of positive integer factors of 6914 that divides 6914 without a remainder.

1, 2, 3457, 6914

Least Common Multiple of 6909 and 6914 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 6914, than apply into the LCM equation.

GCF(6909,6914) = 1
LCM(6909,6914) = ( 6909 × 6914) / 1
LCM(6909,6914) = 47768826 / 1
LCM(6909,6914) = 47768826

Properties of LCM 6909 and 6914

(i) The LCM of 6914 and 6909 is associative

LCM of 6909 and 6914 = LCM of 6914 and 6909

Related Least Common Multiples of 6909

Related Least Common Multiples of 6914

Frequently Asked Questions on LCM of 6909 and 6914

1. What is the LCM of 6909 and 6914?

Answer: LCM of 6909 and 6914 is 47768826.

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 6914?

Answer: Factors of 6914 are 1, 2, 3457, 6914. There are 4 integers that are factors of 6914. The greatest factor of 6914 is 6914.

4. How to Find the LCM of 6909 and 6914?

Answer:

Least Common Multiple of 6909 and 6914 = 47768826

Step 1: Find the prime factorization of 6909

6909 = 3 x 7 x 7 x 47

Step 2: Find the prime factorization of 6914

6914 = 2 x 3457

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

LCM = 47768826 = 2 x 3 x 7 x 7 x 47 x 3457

Step 4: Therefore, the least common multiple of 6909 and 6914 is 47768826.