Least Common Multiple of 6615 and 6621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6615 and 6621 the smallest integer that is 14599305 that is divisible by both numbers.

Least Common Multiple (LCM) of 6615 and 6621 is 14599305.

LCM(6615,6621) = 14599305

LCM of 6615 and 6621

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

LCM of:
and

Least Common Multiple of 6615 and 6621

LCM of 6615 and 6621 is 14599305

Least common multiple can be found by multiplying the highest exponent prime factors of 6615 and 6621. First we will calculate the prime factors of 6615 and 6621.

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

Prime Factorization of 6621


3 6621
2207 2207
1

Prime factors of 6621 are 3,2207. Prime factorization of 6621 in exponential form is:

6621 = 31×22071

Now multiplying the highest exponent prime factors to calculate the LCM of 6615 and 6621.

LCM(6615,6621) = 33×51×72×22071
LCM(6615,6621) = 14599305

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

Factors of 6621

List of positive integer factors of 6621 that divides 6621 without a remainder.

1, 3, 2207, 6621

Least Common Multiple of 6615 and 6621 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6615 and 6621, than apply into the LCM equation.

GCF(6615,6621) = 3
LCM(6615,6621) = ( 6615 × 6621) / 3
LCM(6615,6621) = 43797915 / 3
LCM(6615,6621) = 14599305

Properties of LCM 6615 and 6621

(i) The LCM of 6621 and 6615 is associative

LCM of 6615 and 6621 = LCM of 6621 and 6615

Related Least Common Multiples of 6615

Related Least Common Multiples of 6621

Frequently Asked Questions on LCM of 6615 and 6621

1. What is the LCM of 6615 and 6621?

Answer: LCM of 6615 and 6621 is 14599305.

2. 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.

3. What are the Factors of 6621?

Answer: Factors of 6621 are 1, 3, 2207, 6621. There are 4 integers that are factors of 6621. The greatest factor of 6621 is 6621.

4. How to Find the LCM of 6615 and 6621?

Answer:

Least Common Multiple of 6615 and 6621 = 14599305

Step 1: Find the prime factorization of 6615

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

Step 2: Find the prime factorization of 6621

6621 = 3 x 2207

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

LCM = 14599305 = 3 x 3 x 3 x 5 x 7 x 7 x 2207

Step 4: Therefore, the least common multiple of 6615 and 6621 is 14599305.