Least Common Multiple of 3305 and 3309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3305 and 3309 the smallest integer that is 10936245 that is divisible by both numbers.

Least Common Multiple (LCM) of 3305 and 3309 is 10936245.

LCM(3305,3309) = 10936245

LCM of 3305 and 3309

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

LCM of:
and

Least Common Multiple of 3305 and 3309

LCM of 3305 and 3309 is 10936245

Least common multiple can be found by multiplying the highest exponent prime factors of 3305 and 3309. First we will calculate the prime factors of 3305 and 3309.

Prime Factorization of 3305


5 3305
661 661
1

Prime factors of 3305 are 5,661. Prime factorization of 3305 in exponential form is:

3305 = 51×6611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3305 and 3309.

LCM(3305,3309) = 31×51×6611×11031
LCM(3305,3309) = 10936245

Factors of 3305

List of positive integer factors of 3305 that divides 3305 without a remainder.

1, 5, 661, 3305

Factors of 3309

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

1, 3, 1103, 3309

Least Common Multiple of 3305 and 3309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3305 and 3309, than apply into the LCM equation.

GCF(3305,3309) = 1
LCM(3305,3309) = ( 3305 × 3309) / 1
LCM(3305,3309) = 10936245 / 1
LCM(3305,3309) = 10936245

Properties of LCM 3305 and 3309

(i) The LCM of 3309 and 3305 is associative

LCM of 3305 and 3309 = LCM of 3309 and 3305

Related Least Common Multiples of 3305

Related Least Common Multiples of 3309

Frequently Asked Questions on LCM of 3305 and 3309

1. What is the LCM of 3305 and 3309?

Answer: LCM of 3305 and 3309 is 10936245.

2. What are the Factors of 3305?

Answer: Factors of 3305 are 1, 5, 661, 3305. There are 4 integers that are factors of 3305. The greatest factor of 3305 is 3305.

3. 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.

4. How to Find the LCM of 3305 and 3309?

Answer:

Least Common Multiple of 3305 and 3309 = 10936245

Step 1: Find the prime factorization of 3305

3305 = 5 x 661

Step 2: Find the prime factorization of 3309

3309 = 3 x 1103

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

LCM = 10936245 = 3 x 5 x 661 x 1103

Step 4: Therefore, the least common multiple of 3305 and 3309 is 10936245.