Least Common Multiple of 3305 and 3307

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 3307 the smallest integer that is 10929635 that is divisible by both numbers.

Least Common Multiple (LCM) of 3305 and 3307 is 10929635.

LCM(3305,3307) = 10929635

LCM of 3305 and 3307

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

LCM of:
and

Least Common Multiple of 3305 and 3307

LCM of 3305 and 3307 is 10929635

Least common multiple can be found by multiplying the highest exponent prime factors of 3305 and 3307. First we will calculate the prime factors of 3305 and 3307.

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 3307


3307 3307
1

Prime factors of 3307 are 3307. Prime factorization of 3307 in exponential form is:

3307 = 33071

Now multiplying the highest exponent prime factors to calculate the LCM of 3305 and 3307.

LCM(3305,3307) = 51×6611×33071
LCM(3305,3307) = 10929635

Factors of 3305

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

1, 5, 661, 3305

Factors of 3307

List of positive integer factors of 3307 that divides 3307 without a remainder.

1, 3307

Least Common Multiple of 3305 and 3307 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 3307, than apply into the LCM equation.

GCF(3305,3307) = 1
LCM(3305,3307) = ( 3305 × 3307) / 1
LCM(3305,3307) = 10929635 / 1
LCM(3305,3307) = 10929635

Properties of LCM 3305 and 3307

(i) The LCM of 3307 and 3305 is associative

LCM of 3305 and 3307 = LCM of 3307 and 3305

Related Least Common Multiples of 3305

Related Least Common Multiples of 3307

Frequently Asked Questions on LCM of 3305 and 3307

1. What is the LCM of 3305 and 3307?

Answer: LCM of 3305 and 3307 is 10929635.

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 3307?

Answer: Factors of 3307 are 1, 3307. There are 2 integers that are factors of 3307. The greatest factor of 3307 is 3307.

4. How to Find the LCM of 3305 and 3307?

Answer:

Least Common Multiple of 3305 and 3307 = 10929635

Step 1: Find the prime factorization of 3305

3305 = 5 x 661

Step 2: Find the prime factorization of 3307

3307 = 3307

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

LCM = 10929635 = 5 x 661 x 3307

Step 4: Therefore, the least common multiple of 3305 and 3307 is 10929635.