Least Common Multiple of 6609 and 6617

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 6617 the smallest integer that is 43731753 that is divisible by both numbers.

Least Common Multiple (LCM) of 6609 and 6617 is 43731753.

LCM(6609,6617) = 43731753

LCM of 6609 and 6617

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

LCM of:
and

Least Common Multiple of 6609 and 6617

LCM of 6609 and 6617 is 43731753

Least common multiple can be found by multiplying the highest exponent prime factors of 6609 and 6617. First we will calculate the prime factors of 6609 and 6617.

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 6617


13 6617
509 509
1

Prime factors of 6617 are 13,509. Prime factorization of 6617 in exponential form is:

6617 = 131×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 6609 and 6617.

LCM(6609,6617) = 31×131×5091×22031
LCM(6609,6617) = 43731753

Factors of 6609

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

1, 3, 2203, 6609

Factors of 6617

List of positive integer factors of 6617 that divides 6617 without a remainder.

1, 13, 509, 6617

Least Common Multiple of 6609 and 6617 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 6617, than apply into the LCM equation.

GCF(6609,6617) = 1
LCM(6609,6617) = ( 6609 × 6617) / 1
LCM(6609,6617) = 43731753 / 1
LCM(6609,6617) = 43731753

Properties of LCM 6609 and 6617

(i) The LCM of 6617 and 6609 is associative

LCM of 6609 and 6617 = LCM of 6617 and 6609

Related Least Common Multiples of 6609

Related Least Common Multiples of 6617

Frequently Asked Questions on LCM of 6609 and 6617

1. What is the LCM of 6609 and 6617?

Answer: LCM of 6609 and 6617 is 43731753.

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 6617?

Answer: Factors of 6617 are 1, 13, 509, 6617. There are 4 integers that are factors of 6617. The greatest factor of 6617 is 6617.

4. How to Find the LCM of 6609 and 6617?

Answer:

Least Common Multiple of 6609 and 6617 = 43731753

Step 1: Find the prime factorization of 6609

6609 = 3 x 2203

Step 2: Find the prime factorization of 6617

6617 = 13 x 509

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

LCM = 43731753 = 3 x 13 x 509 x 2203

Step 4: Therefore, the least common multiple of 6609 and 6617 is 43731753.