Least Common Multiple of 3319 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 3319 and 3322 the smallest integer that is 11025718 that is divisible by both numbers.

Least Common Multiple (LCM) of 3319 and 3322 is 11025718.

LCM(3319,3322) = 11025718

LCM of 3319 and 3322

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

LCM of:
and

Least Common Multiple of 3319 and 3322

LCM of 3319 and 3322 is 11025718

Least common multiple can be found by multiplying the highest exponent prime factors of 3319 and 3322. First we will calculate the prime factors of 3319 and 3322.

Prime Factorization of 3319


3319 3319
1

Prime factors of 3319 are 3319. Prime factorization of 3319 in exponential form is:

3319 = 33191

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 3319 and 3322.

LCM(3319,3322) = 21×111×1511×33191
LCM(3319,3322) = 11025718

Factors of 3319

List of positive integer factors of 3319 that divides 3319 without a remainder.

1, 3319

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 3319 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 3319 and 3322, than apply into the LCM equation.

GCF(3319,3322) = 1
LCM(3319,3322) = ( 3319 × 3322) / 1
LCM(3319,3322) = 11025718 / 1
LCM(3319,3322) = 11025718

Properties of LCM 3319 and 3322

(i) The LCM of 3322 and 3319 is associative

LCM of 3319 and 3322 = LCM of 3322 and 3319

Related Least Common Multiples of 3319

Related Least Common Multiples of 3322

Frequently Asked Questions on LCM of 3319 and 3322

1. What is the LCM of 3319 and 3322?

Answer: LCM of 3319 and 3322 is 11025718.

2. What are the Factors of 3319?

Answer: Factors of 3319 are 1, 3319. There are 2 integers that are factors of 3319. The greatest factor of 3319 is 3319.

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 3319 and 3322?

Answer:

Least Common Multiple of 3319 and 3322 = 11025718

Step 1: Find the prime factorization of 3319

3319 = 3319

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 = 11025718 = 2 x 11 x 151 x 3319

Step 4: Therefore, the least common multiple of 3319 and 3322 is 11025718.