Least Common Multiple of 3305 and 3313

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 3313 the smallest integer that is 10949465 that is divisible by both numbers.

Least Common Multiple (LCM) of 3305 and 3313 is 10949465.

LCM(3305,3313) = 10949465

LCM of 3305 and 3313

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

LCM of:
and

Least Common Multiple of 3305 and 3313

LCM of 3305 and 3313 is 10949465

Least common multiple can be found by multiplying the highest exponent prime factors of 3305 and 3313. First we will calculate the prime factors of 3305 and 3313.

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 3313


3313 3313
1

Prime factors of 3313 are 3313. Prime factorization of 3313 in exponential form is:

3313 = 33131

Now multiplying the highest exponent prime factors to calculate the LCM of 3305 and 3313.

LCM(3305,3313) = 51×6611×33131
LCM(3305,3313) = 10949465

Factors of 3305

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

1, 5, 661, 3305

Factors of 3313

List of positive integer factors of 3313 that divides 3313 without a remainder.

1, 3313

Least Common Multiple of 3305 and 3313 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 3313, than apply into the LCM equation.

GCF(3305,3313) = 1
LCM(3305,3313) = ( 3305 × 3313) / 1
LCM(3305,3313) = 10949465 / 1
LCM(3305,3313) = 10949465

Properties of LCM 3305 and 3313

(i) The LCM of 3313 and 3305 is associative

LCM of 3305 and 3313 = LCM of 3313 and 3305

Related Least Common Multiples of 3305

Related Least Common Multiples of 3313

Frequently Asked Questions on LCM of 3305 and 3313

1. What is the LCM of 3305 and 3313?

Answer: LCM of 3305 and 3313 is 10949465.

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 3313?

Answer: Factors of 3313 are 1, 3313. There are 2 integers that are factors of 3313. The greatest factor of 3313 is 3313.

4. How to Find the LCM of 3305 and 3313?

Answer:

Least Common Multiple of 3305 and 3313 = 10949465

Step 1: Find the prime factorization of 3305

3305 = 5 x 661

Step 2: Find the prime factorization of 3313

3313 = 3313

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

LCM = 10949465 = 5 x 661 x 3313

Step 4: Therefore, the least common multiple of 3305 and 3313 is 10949465.