Least Common Multiple of 3303 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 3303 and 3310 the smallest integer that is 10932930 that is divisible by both numbers.

Least Common Multiple (LCM) of 3303 and 3310 is 10932930.

LCM(3303,3310) = 10932930

LCM of 3303 and 3310

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

LCM of:
and

Least Common Multiple of 3303 and 3310

LCM of 3303 and 3310 is 10932930

Least common multiple can be found by multiplying the highest exponent prime factors of 3303 and 3310. First we will calculate the prime factors of 3303 and 3310.

Prime Factorization of 3303


3 3303
3 1101
367 367
1

Prime factors of 3303 are 3,367. Prime factorization of 3303 in exponential form is:

3303 = 32×3671

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 3303 and 3310.

LCM(3303,3310) = 21×32×51×3311×3671
LCM(3303,3310) = 10932930

Factors of 3303

List of positive integer factors of 3303 that divides 3303 without a remainder.

1, 3, 9, 367, 1101, 3303

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 3303 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 3303 and 3310, than apply into the LCM equation.

GCF(3303,3310) = 1
LCM(3303,3310) = ( 3303 × 3310) / 1
LCM(3303,3310) = 10932930 / 1
LCM(3303,3310) = 10932930

Properties of LCM 3303 and 3310

(i) The LCM of 3310 and 3303 is associative

LCM of 3303 and 3310 = LCM of 3310 and 3303

Related Least Common Multiples of 3303

Related Least Common Multiples of 3310

Frequently Asked Questions on LCM of 3303 and 3310

1. What is the LCM of 3303 and 3310?

Answer: LCM of 3303 and 3310 is 10932930.

2. What are the Factors of 3303?

Answer: Factors of 3303 are 1, 3, 9, 367, 1101, 3303. There are 6 integers that are factors of 3303. The greatest factor of 3303 is 3303.

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 3303 and 3310?

Answer:

Least Common Multiple of 3303 and 3310 = 10932930

Step 1: Find the prime factorization of 3303

3303 = 3 x 3 x 367

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 = 10932930 = 2 x 3 x 3 x 5 x 331 x 367

Step 4: Therefore, the least common multiple of 3303 and 3310 is 10932930.