Least Common Multiple of 6609 and 6615

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 6615 the smallest integer that is 14572845 that is divisible by both numbers.

Least Common Multiple (LCM) of 6609 and 6615 is 14572845.

LCM(6609,6615) = 14572845

LCM of 6609 and 6615

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

LCM of:
and

Least Common Multiple of 6609 and 6615

LCM of 6609 and 6615 is 14572845

Least common multiple can be found by multiplying the highest exponent prime factors of 6609 and 6615. First we will calculate the prime factors of 6609 and 6615.

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 6615


3 6615
3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 6615 are 3, 5,7. Prime factorization of 6615 in exponential form is:

6615 = 33×51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 6609 and 6615.

LCM(6609,6615) = 33×51×72×22031
LCM(6609,6615) = 14572845

Factors of 6609

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

1, 3, 2203, 6609

Factors of 6615

List of positive integer factors of 6615 that divides 6615 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 441, 735, 945, 1323, 2205, 6615

Least Common Multiple of 6609 and 6615 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 6615, than apply into the LCM equation.

GCF(6609,6615) = 3
LCM(6609,6615) = ( 6609 × 6615) / 3
LCM(6609,6615) = 43718535 / 3
LCM(6609,6615) = 14572845

Properties of LCM 6609 and 6615

(i) The LCM of 6615 and 6609 is associative

LCM of 6609 and 6615 = LCM of 6615 and 6609

Related Least Common Multiples of 6609

Related Least Common Multiples of 6615

Frequently Asked Questions on LCM of 6609 and 6615

1. What is the LCM of 6609 and 6615?

Answer: LCM of 6609 and 6615 is 14572845.

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 6615?

Answer: Factors of 6615 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 49, 63, 105, 135, 147, 189, 245, 315, 441, 735, 945, 1323, 2205, 6615. There are 24 integers that are factors of 6615. The greatest factor of 6615 is 6615.

4. How to Find the LCM of 6609 and 6615?

Answer:

Least Common Multiple of 6609 and 6615 = 14572845

Step 1: Find the prime factorization of 6609

6609 = 3 x 2203

Step 2: Find the prime factorization of 6615

6615 = 3 x 3 x 3 x 5 x 7 x 7

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

LCM = 14572845 = 3 x 3 x 3 x 5 x 7 x 7 x 2203

Step 4: Therefore, the least common multiple of 6609 and 6615 is 14572845.