Least Common Multiple of 3313 and 3320

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 3320 the smallest integer that is 10999160 that is divisible by both numbers.

Least Common Multiple (LCM) of 3313 and 3320 is 10999160.

LCM(3313,3320) = 10999160

LCM of 3313 and 3320

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

LCM of:
and

Least Common Multiple of 3313 and 3320

LCM of 3313 and 3320 is 10999160

Least common multiple can be found by multiplying the highest exponent prime factors of 3313 and 3320. First we will calculate the prime factors of 3313 and 3320.

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 3320


2 3320
2 1660
2 830
5 415
83 83
1

Prime factors of 3320 are 2, 5,83. Prime factorization of 3320 in exponential form is:

3320 = 23×51×831

Now multiplying the highest exponent prime factors to calculate the LCM of 3313 and 3320.

LCM(3313,3320) = 23×51×831×33131
LCM(3313,3320) = 10999160

Factors of 3313

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

1, 3313

Factors of 3320

List of positive integer factors of 3320 that divides 3320 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320

Least Common Multiple of 3313 and 3320 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 3320, than apply into the LCM equation.

GCF(3313,3320) = 1
LCM(3313,3320) = ( 3313 × 3320) / 1
LCM(3313,3320) = 10999160 / 1
LCM(3313,3320) = 10999160

Properties of LCM 3313 and 3320

(i) The LCM of 3320 and 3313 is associative

LCM of 3313 and 3320 = LCM of 3320 and 3313

Related Least Common Multiples of 3313

Related Least Common Multiples of 3320

Frequently Asked Questions on LCM of 3313 and 3320

1. What is the LCM of 3313 and 3320?

Answer: LCM of 3313 and 3320 is 10999160.

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 3320?

Answer: Factors of 3320 are 1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320. There are 16 integers that are factors of 3320. The greatest factor of 3320 is 3320.

4. How to Find the LCM of 3313 and 3320?

Answer:

Least Common Multiple of 3313 and 3320 = 10999160

Step 1: Find the prime factorization of 3313

3313 = 3313

Step 2: Find the prime factorization of 3320

3320 = 2 x 2 x 2 x 5 x 83

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

LCM = 10999160 = 2 x 2 x 2 x 5 x 83 x 3313

Step 4: Therefore, the least common multiple of 3313 and 3320 is 10999160.