Least Common Multiple of 6609 and 6614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6609 and 6614 the smallest integer that is 43711926 that is divisible by both numbers.

Least Common Multiple (LCM) of 6609 and 6614 is 43711926.

LCM(6609,6614) = 43711926

LCM of 6609 and 6614

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

LCM of:
and

Least Common Multiple of 6609 and 6614

LCM of 6609 and 6614 is 43711926

Least common multiple can be found by multiplying the highest exponent prime factors of 6609 and 6614. First we will calculate the prime factors of 6609 and 6614.

Prime Factorization of 6609


3 6609
2203 2203
1

Prime factors of 6609 are 3,2203. Prime factorization of 6609 in exponential form is:

6609 = 31×22031

Prime Factorization of 6614


2 6614
3307 3307
1

Prime factors of 6614 are 2,3307. Prime factorization of 6614 in exponential form is:

6614 = 21×33071

Now multiplying the highest exponent prime factors to calculate the LCM of 6609 and 6614.

LCM(6609,6614) = 21×31×22031×33071
LCM(6609,6614) = 43711926

Factors of 6609

List of positive integer factors of 6609 that divides 6609 without a remainder.

1, 3, 2203, 6609

Factors of 6614

List of positive integer factors of 6614 that divides 6614 without a remainder.

1, 2, 3307, 6614

Least Common Multiple of 6609 and 6614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6609 and 6614, than apply into the LCM equation.

GCF(6609,6614) = 1
LCM(6609,6614) = ( 6609 × 6614) / 1
LCM(6609,6614) = 43711926 / 1
LCM(6609,6614) = 43711926

Properties of LCM 6609 and 6614

(i) The LCM of 6614 and 6609 is associative

LCM of 6609 and 6614 = LCM of 6614 and 6609

Related Least Common Multiples of 6609

Related Least Common Multiples of 6614

Frequently Asked Questions on LCM of 6609 and 6614

1. What is the LCM of 6609 and 6614?

Answer: LCM of 6609 and 6614 is 43711926.

2. What are the Factors of 6609?

Answer: Factors of 6609 are 1, 3, 2203, 6609. There are 4 integers that are factors of 6609. The greatest factor of 6609 is 6609.

3. What are the Factors of 6614?

Answer: Factors of 6614 are 1, 2, 3307, 6614. There are 4 integers that are factors of 6614. The greatest factor of 6614 is 6614.

4. How to Find the LCM of 6609 and 6614?

Answer:

Least Common Multiple of 6609 and 6614 = 43711926

Step 1: Find the prime factorization of 6609

6609 = 3 x 2203

Step 2: Find the prime factorization of 6614

6614 = 2 x 3307

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

LCM = 43711926 = 2 x 3 x 2203 x 3307

Step 4: Therefore, the least common multiple of 6609 and 6614 is 43711926.