Least Common Multiple of 3322 and 3330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3322 and 3330 the smallest integer that is 5531130 that is divisible by both numbers.

Least Common Multiple (LCM) of 3322 and 3330 is 5531130.

LCM(3322,3330) = 5531130

LCM of 3322 and 3330

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

LCM of:
and

Least Common Multiple of 3322 and 3330

LCM of 3322 and 3330 is 5531130

Least common multiple can be found by multiplying the highest exponent prime factors of 3322 and 3330. First we will calculate the prime factors of 3322 and 3330.

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

Prime Factorization of 3330


2 3330
3 1665
3 555
5 185
37 37
1

Prime factors of 3330 are 2, 3, 5,37. Prime factorization of 3330 in exponential form is:

3330 = 21×32×51×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3322 and 3330.

LCM(3322,3330) = 21×32×51×111×371×1511
LCM(3322,3330) = 5531130

Factors of 3322

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

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

Factors of 3330

List of positive integer factors of 3330 that divides 3330 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665, 3330

Least Common Multiple of 3322 and 3330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3322 and 3330, than apply into the LCM equation.

GCF(3322,3330) = 2
LCM(3322,3330) = ( 3322 × 3330) / 2
LCM(3322,3330) = 11062260 / 2
LCM(3322,3330) = 5531130

Properties of LCM 3322 and 3330

(i) The LCM of 3330 and 3322 is associative

LCM of 3322 and 3330 = LCM of 3330 and 3322

Related Least Common Multiples of 3322

Related Least Common Multiples of 3330

Frequently Asked Questions on LCM of 3322 and 3330

1. What is the LCM of 3322 and 3330?

Answer: LCM of 3322 and 3330 is 5531130.

2. 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.

3. What are the Factors of 3330?

Answer: Factors of 3330 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 37, 45, 74, 90, 111, 185, 222, 333, 370, 555, 666, 1110, 1665, 3330. There are 24 integers that are factors of 3330. The greatest factor of 3330 is 3330.

4. How to Find the LCM of 3322 and 3330?

Answer:

Least Common Multiple of 3322 and 3330 = 5531130

Step 1: Find the prime factorization of 3322

3322 = 2 x 11 x 151

Step 2: Find the prime factorization of 3330

3330 = 2 x 3 x 3 x 5 x 37

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

LCM = 5531130 = 2 x 3 x 3 x 5 x 11 x 37 x 151

Step 4: Therefore, the least common multiple of 3322 and 3330 is 5531130.