Least Common Multiple of 3310 and 3317

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 3317 the smallest integer that is 10979270 that is divisible by both numbers.

Least Common Multiple (LCM) of 3310 and 3317 is 10979270.

LCM(3310,3317) = 10979270

LCM of 3310 and 3317

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

LCM of:
and

Least Common Multiple of 3310 and 3317

LCM of 3310 and 3317 is 10979270

Least common multiple can be found by multiplying the highest exponent prime factors of 3310 and 3317. First we will calculate the prime factors of 3310 and 3317.

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 3317


31 3317
107 107
1

Prime factors of 3317 are 31,107. Prime factorization of 3317 in exponential form is:

3317 = 311×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 3310 and 3317.

LCM(3310,3317) = 21×51×311×1071×3311
LCM(3310,3317) = 10979270

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 3317

List of positive integer factors of 3317 that divides 3317 without a remainder.

1, 31, 107, 3317

Least Common Multiple of 3310 and 3317 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 3317, than apply into the LCM equation.

GCF(3310,3317) = 1
LCM(3310,3317) = ( 3310 × 3317) / 1
LCM(3310,3317) = 10979270 / 1
LCM(3310,3317) = 10979270

Properties of LCM 3310 and 3317

(i) The LCM of 3317 and 3310 is associative

LCM of 3310 and 3317 = LCM of 3317 and 3310

Related Least Common Multiples of 3310

Related Least Common Multiples of 3317

Frequently Asked Questions on LCM of 3310 and 3317

1. What is the LCM of 3310 and 3317?

Answer: LCM of 3310 and 3317 is 10979270.

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 3317?

Answer: Factors of 3317 are 1, 31, 107, 3317. There are 4 integers that are factors of 3317. The greatest factor of 3317 is 3317.

4. How to Find the LCM of 3310 and 3317?

Answer:

Least Common Multiple of 3310 and 3317 = 10979270

Step 1: Find the prime factorization of 3310

3310 = 2 x 5 x 331

Step 2: Find the prime factorization of 3317

3317 = 31 x 107

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

LCM = 10979270 = 2 x 5 x 31 x 107 x 331

Step 4: Therefore, the least common multiple of 3310 and 3317 is 10979270.