Least Common Multiple of 3305 and 3310

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 3310 the smallest integer that is 2187910 that is divisible by both numbers.

Least Common Multiple (LCM) of 3305 and 3310 is 2187910.

LCM(3305,3310) = 2187910

LCM of 3305 and 3310

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

LCM of:
and

Least Common Multiple of 3305 and 3310

LCM of 3305 and 3310 is 2187910

Least common multiple can be found by multiplying the highest exponent prime factors of 3305 and 3310. First we will calculate the prime factors of 3305 and 3310.

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 3310


2 3310
5 1655
331 331
1

Prime factors of 3310 are 2, 5,331. Prime factorization of 3310 in exponential form is:

3310 = 21×51×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 3305 and 3310.

LCM(3305,3310) = 21×51×3311×6611
LCM(3305,3310) = 2187910

Factors of 3305

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

1, 5, 661, 3305

Factors of 3310

List of positive integer factors of 3310 that divides 3310 without a remainder.

1, 2, 5, 10, 331, 662, 1655, 3310

Least Common Multiple of 3305 and 3310 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 3310, than apply into the LCM equation.

GCF(3305,3310) = 5
LCM(3305,3310) = ( 3305 × 3310) / 5
LCM(3305,3310) = 10939550 / 5
LCM(3305,3310) = 2187910

Properties of LCM 3305 and 3310

(i) The LCM of 3310 and 3305 is associative

LCM of 3305 and 3310 = LCM of 3310 and 3305

Related Least Common Multiples of 3305

Related Least Common Multiples of 3310

Frequently Asked Questions on LCM of 3305 and 3310

1. What is the LCM of 3305 and 3310?

Answer: LCM of 3305 and 3310 is 2187910.

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 3310?

Answer: Factors of 3310 are 1, 2, 5, 10, 331, 662, 1655, 3310. There are 8 integers that are factors of 3310. The greatest factor of 3310 is 3310.

4. How to Find the LCM of 3305 and 3310?

Answer:

Least Common Multiple of 3305 and 3310 = 2187910

Step 1: Find the prime factorization of 3305

3305 = 5 x 661

Step 2: Find the prime factorization of 3310

3310 = 2 x 5 x 331

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

LCM = 2187910 = 2 x 5 x 331 x 661

Step 4: Therefore, the least common multiple of 3305 and 3310 is 2187910.