Least Common Multiple of 3308 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 3308 and 3315 the smallest integer that is 10966020 that is divisible by both numbers.

Least Common Multiple (LCM) of 3308 and 3315 is 10966020.

LCM(3308,3315) = 10966020

LCM of 3308 and 3315

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

LCM of:
and

Least Common Multiple of 3308 and 3315

LCM of 3308 and 3315 is 10966020

Least common multiple can be found by multiplying the highest exponent prime factors of 3308 and 3315. First we will calculate the prime factors of 3308 and 3315.

Prime Factorization of 3308


2 3308
2 1654
827 827
1

Prime factors of 3308 are 2,827. Prime factorization of 3308 in exponential form is:

3308 = 22×8271

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 3308 and 3315.

LCM(3308,3315) = 22×31×51×131×171×8271
LCM(3308,3315) = 10966020

Factors of 3308

List of positive integer factors of 3308 that divides 3308 without a remainder.

1, 2, 4, 827, 1654, 3308

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 3308 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 3308 and 3315, than apply into the LCM equation.

GCF(3308,3315) = 1
LCM(3308,3315) = ( 3308 × 3315) / 1
LCM(3308,3315) = 10966020 / 1
LCM(3308,3315) = 10966020

Properties of LCM 3308 and 3315

(i) The LCM of 3315 and 3308 is associative

LCM of 3308 and 3315 = LCM of 3315 and 3308

Related Least Common Multiples of 3308

Related Least Common Multiples of 3315

Frequently Asked Questions on LCM of 3308 and 3315

1. What is the LCM of 3308 and 3315?

Answer: LCM of 3308 and 3315 is 10966020.

2. What are the Factors of 3308?

Answer: Factors of 3308 are 1, 2, 4, 827, 1654, 3308. There are 6 integers that are factors of 3308. The greatest factor of 3308 is 3308.

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 3308 and 3315?

Answer:

Least Common Multiple of 3308 and 3315 = 10966020

Step 1: Find the prime factorization of 3308

3308 = 2 x 2 x 827

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 = 10966020 = 2 x 2 x 3 x 5 x 13 x 17 x 827

Step 4: Therefore, the least common multiple of 3308 and 3315 is 10966020.