Least Common Multiple of 3317 and 3322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3317 and 3322 the smallest integer that is 11019074 that is divisible by both numbers.

Least Common Multiple (LCM) of 3317 and 3322 is 11019074.

LCM(3317,3322) = 11019074

LCM of 3317 and 3322

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

LCM of:
and

Least Common Multiple of 3317 and 3322

LCM of 3317 and 3322 is 11019074

Least common multiple can be found by multiplying the highest exponent prime factors of 3317 and 3322. First we will calculate the prime factors of 3317 and 3322.

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

Prime Factorization of 3322


2 3322
11 1661
151 151
1

Prime factors of 3322 are 2, 11,151. Prime factorization of 3322 in exponential form is:

3322 = 21×111×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 3317 and 3322.

LCM(3317,3322) = 21×111×311×1071×1511
LCM(3317,3322) = 11019074

Factors of 3317

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

1, 31, 107, 3317

Factors of 3322

List of positive integer factors of 3322 that divides 3322 without a remainder.

1, 2, 11, 22, 151, 302, 1661, 3322

Least Common Multiple of 3317 and 3322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3317 and 3322, than apply into the LCM equation.

GCF(3317,3322) = 1
LCM(3317,3322) = ( 3317 × 3322) / 1
LCM(3317,3322) = 11019074 / 1
LCM(3317,3322) = 11019074

Properties of LCM 3317 and 3322

(i) The LCM of 3322 and 3317 is associative

LCM of 3317 and 3322 = LCM of 3322 and 3317

Related Least Common Multiples of 3317

Related Least Common Multiples of 3322

Frequently Asked Questions on LCM of 3317 and 3322

1. What is the LCM of 3317 and 3322?

Answer: LCM of 3317 and 3322 is 11019074.

2. 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.

3. What are the Factors of 3322?

Answer: Factors of 3322 are 1, 2, 11, 22, 151, 302, 1661, 3322. There are 8 integers that are factors of 3322. The greatest factor of 3322 is 3322.

4. How to Find the LCM of 3317 and 3322?

Answer:

Least Common Multiple of 3317 and 3322 = 11019074

Step 1: Find the prime factorization of 3317

3317 = 31 x 107

Step 2: Find the prime factorization of 3322

3322 = 2 x 11 x 151

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

LCM = 11019074 = 2 x 11 x 31 x 107 x 151

Step 4: Therefore, the least common multiple of 3317 and 3322 is 11019074.