Least Common Multiple of 3330 and 3338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3330 and 3338 the smallest integer that is 5557770 that is divisible by both numbers.

Least Common Multiple (LCM) of 3330 and 3338 is 5557770.

LCM(3330,3338) = 5557770

LCM of 3330 and 3338

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

LCM of:
and

Least Common Multiple of 3330 and 3338

LCM of 3330 and 3338 is 5557770

Least common multiple can be found by multiplying the highest exponent prime factors of 3330 and 3338. First we will calculate the prime factors of 3330 and 3338.

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

Prime Factorization of 3338


2 3338
1669 1669
1

Prime factors of 3338 are 2,1669. Prime factorization of 3338 in exponential form is:

3338 = 21×16691

Now multiplying the highest exponent prime factors to calculate the LCM of 3330 and 3338.

LCM(3330,3338) = 21×32×51×371×16691
LCM(3330,3338) = 5557770

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

Factors of 3338

List of positive integer factors of 3338 that divides 3338 without a remainder.

1, 2, 1669, 3338

Least Common Multiple of 3330 and 3338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3330 and 3338, than apply into the LCM equation.

GCF(3330,3338) = 2
LCM(3330,3338) = ( 3330 × 3338) / 2
LCM(3330,3338) = 11115540 / 2
LCM(3330,3338) = 5557770

Properties of LCM 3330 and 3338

(i) The LCM of 3338 and 3330 is associative

LCM of 3330 and 3338 = LCM of 3338 and 3330

Related Least Common Multiples of 3330

Related Least Common Multiples of 3338

Frequently Asked Questions on LCM of 3330 and 3338

1. What is the LCM of 3330 and 3338?

Answer: LCM of 3330 and 3338 is 5557770.

2. 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.

3. What are the Factors of 3338?

Answer: Factors of 3338 are 1, 2, 1669, 3338. There are 4 integers that are factors of 3338. The greatest factor of 3338 is 3338.

4. How to Find the LCM of 3330 and 3338?

Answer:

Least Common Multiple of 3330 and 3338 = 5557770

Step 1: Find the prime factorization of 3330

3330 = 2 x 3 x 3 x 5 x 37

Step 2: Find the prime factorization of 3338

3338 = 2 x 1669

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

LCM = 5557770 = 2 x 3 x 3 x 5 x 37 x 1669

Step 4: Therefore, the least common multiple of 3330 and 3338 is 5557770.