Least Common Multiple of 3309 and 3315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3309 and 3315 the smallest integer that is 3656445 that is divisible by both numbers.

Least Common Multiple (LCM) of 3309 and 3315 is 3656445.

LCM(3309,3315) = 3656445

LCM of 3309 and 3315

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

LCM of:
and

Least Common Multiple of 3309 and 3315

LCM of 3309 and 3315 is 3656445

Least common multiple can be found by multiplying the highest exponent prime factors of 3309 and 3315. First we will calculate the prime factors of 3309 and 3315.

Prime Factorization of 3309


3 3309
1103 1103
1

Prime factors of 3309 are 3,1103. Prime factorization of 3309 in exponential form is:

3309 = 31×11031

Prime Factorization of 3315


3 3315
5 1105
13 221
17 17
1

Prime factors of 3315 are 3, 5, 13,17. Prime factorization of 3315 in exponential form is:

3315 = 31×51×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3309 and 3315.

LCM(3309,3315) = 31×51×131×171×11031
LCM(3309,3315) = 3656445

Factors of 3309

List of positive integer factors of 3309 that divides 3309 without a remainder.

1, 3, 1103, 3309

Factors of 3315

List of positive integer factors of 3315 that divides 3315 without a remainder.

1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105, 3315

Least Common Multiple of 3309 and 3315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3309 and 3315, than apply into the LCM equation.

GCF(3309,3315) = 3
LCM(3309,3315) = ( 3309 × 3315) / 3
LCM(3309,3315) = 10969335 / 3
LCM(3309,3315) = 3656445

Properties of LCM 3309 and 3315

(i) The LCM of 3315 and 3309 is associative

LCM of 3309 and 3315 = LCM of 3315 and 3309

Related Least Common Multiples of 3309

Related Least Common Multiples of 3315

Frequently Asked Questions on LCM of 3309 and 3315

1. What is the LCM of 3309 and 3315?

Answer: LCM of 3309 and 3315 is 3656445.

2. What are the Factors of 3309?

Answer: Factors of 3309 are 1, 3, 1103, 3309. There are 4 integers that are factors of 3309. The greatest factor of 3309 is 3309.

3. What are the Factors of 3315?

Answer: Factors of 3315 are 1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105, 3315. There are 16 integers that are factors of 3315. The greatest factor of 3315 is 3315.

4. How to Find the LCM of 3309 and 3315?

Answer:

Least Common Multiple of 3309 and 3315 = 3656445

Step 1: Find the prime factorization of 3309

3309 = 3 x 1103

Step 2: Find the prime factorization of 3315

3315 = 3 x 5 x 13 x 17

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

LCM = 3656445 = 3 x 5 x 13 x 17 x 1103

Step 4: Therefore, the least common multiple of 3309 and 3315 is 3656445.