Least Common Multiple of 3313 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 3313 and 3318 the smallest integer that is 10992534 that is divisible by both numbers.

Least Common Multiple (LCM) of 3313 and 3318 is 10992534.

LCM(3313,3318) = 10992534

LCM of 3313 and 3318

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

LCM of:
and

Least Common Multiple of 3313 and 3318

LCM of 3313 and 3318 is 10992534

Least common multiple can be found by multiplying the highest exponent prime factors of 3313 and 3318. First we will calculate the prime factors of 3313 and 3318.

Prime Factorization of 3313


3313 3313
1

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

3313 = 33131

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 3313 and 3318.

LCM(3313,3318) = 21×31×71×791×33131
LCM(3313,3318) = 10992534

Factors of 3313

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

1, 3313

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 3313 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 3313 and 3318, than apply into the LCM equation.

GCF(3313,3318) = 1
LCM(3313,3318) = ( 3313 × 3318) / 1
LCM(3313,3318) = 10992534 / 1
LCM(3313,3318) = 10992534

Properties of LCM 3313 and 3318

(i) The LCM of 3318 and 3313 is associative

LCM of 3313 and 3318 = LCM of 3318 and 3313

Related Least Common Multiples of 3313

Related Least Common Multiples of 3318

Frequently Asked Questions on LCM of 3313 and 3318

1. What is the LCM of 3313 and 3318?

Answer: LCM of 3313 and 3318 is 10992534.

2. 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.

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 3313 and 3318?

Answer:

Least Common Multiple of 3313 and 3318 = 10992534

Step 1: Find the prime factorization of 3313

3313 = 3313

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 = 10992534 = 2 x 3 x 7 x 79 x 3313

Step 4: Therefore, the least common multiple of 3313 and 3318 is 10992534.