Least Common Multiple of 3310 and 3318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3310 and 3318 the smallest integer that is 5491290 that is divisible by both numbers.

Least Common Multiple (LCM) of 3310 and 3318 is 5491290.

LCM(3310,3318) = 5491290

LCM of 3310 and 3318

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

LCM of:
and

Least Common Multiple of 3310 and 3318

LCM of 3310 and 3318 is 5491290

Least common multiple can be found by multiplying the highest exponent prime factors of 3310 and 3318. First we will calculate the prime factors of 3310 and 3318.

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

Prime Factorization of 3318


2 3318
3 1659
7 553
79 79
1

Prime factors of 3318 are 2, 3, 7,79. Prime factorization of 3318 in exponential form is:

3318 = 21×31×71×791

Now multiplying the highest exponent prime factors to calculate the LCM of 3310 and 3318.

LCM(3310,3318) = 21×31×51×71×791×3311
LCM(3310,3318) = 5491290

Factors of 3310

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

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

Factors of 3318

List of positive integer factors of 3318 that divides 3318 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 79, 158, 237, 474, 553, 1106, 1659, 3318

Least Common Multiple of 3310 and 3318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3310 and 3318, than apply into the LCM equation.

GCF(3310,3318) = 2
LCM(3310,3318) = ( 3310 × 3318) / 2
LCM(3310,3318) = 10982580 / 2
LCM(3310,3318) = 5491290

Properties of LCM 3310 and 3318

(i) The LCM of 3318 and 3310 is associative

LCM of 3310 and 3318 = LCM of 3318 and 3310

Related Least Common Multiples of 3310

Related Least Common Multiples of 3318

Frequently Asked Questions on LCM of 3310 and 3318

1. What is the LCM of 3310 and 3318?

Answer: LCM of 3310 and 3318 is 5491290.

2. 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.

3. What are the Factors of 3318?

Answer: Factors of 3318 are 1, 2, 3, 6, 7, 14, 21, 42, 79, 158, 237, 474, 553, 1106, 1659, 3318. There are 16 integers that are factors of 3318. The greatest factor of 3318 is 3318.

4. How to Find the LCM of 3310 and 3318?

Answer:

Least Common Multiple of 3310 and 3318 = 5491290

Step 1: Find the prime factorization of 3310

3310 = 2 x 5 x 331

Step 2: Find the prime factorization of 3318

3318 = 2 x 3 x 7 x 79

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

LCM = 5491290 = 2 x 3 x 5 x 7 x 79 x 331

Step 4: Therefore, the least common multiple of 3310 and 3318 is 5491290.