Least Common Multiple of 3324 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 3324 and 3330 the smallest integer that is 1844820 that is divisible by both numbers.

Least Common Multiple (LCM) of 3324 and 3330 is 1844820.

LCM(3324,3330) = 1844820

LCM of 3324 and 3330

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

LCM of:
and

Least Common Multiple of 3324 and 3330

LCM of 3324 and 3330 is 1844820

Least common multiple can be found by multiplying the highest exponent prime factors of 3324 and 3330. First we will calculate the prime factors of 3324 and 3330.

Prime Factorization of 3324


2 3324
2 1662
3 831
277 277
1

Prime factors of 3324 are 2, 3,277. Prime factorization of 3324 in exponential form is:

3324 = 22×31×2771

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 3324 and 3330.

LCM(3324,3330) = 22×32×51×371×2771
LCM(3324,3330) = 1844820

Factors of 3324

List of positive integer factors of 3324 that divides 3324 without a remainder.

1, 2, 3, 4, 6, 12, 277, 554, 831, 1108, 1662, 3324

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 3324 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 3324 and 3330, than apply into the LCM equation.

GCF(3324,3330) = 6
LCM(3324,3330) = ( 3324 × 3330) / 6
LCM(3324,3330) = 11068920 / 6
LCM(3324,3330) = 1844820

Properties of LCM 3324 and 3330

(i) The LCM of 3330 and 3324 is associative

LCM of 3324 and 3330 = LCM of 3330 and 3324

Related Least Common Multiples of 3324

Related Least Common Multiples of 3330

Frequently Asked Questions on LCM of 3324 and 3330

1. What is the LCM of 3324 and 3330?

Answer: LCM of 3324 and 3330 is 1844820.

2. What are the Factors of 3324?

Answer: Factors of 3324 are 1, 2, 3, 4, 6, 12, 277, 554, 831, 1108, 1662, 3324. There are 12 integers that are factors of 3324. The greatest factor of 3324 is 3324.

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 3324 and 3330?

Answer:

Least Common Multiple of 3324 and 3330 = 1844820

Step 1: Find the prime factorization of 3324

3324 = 2 x 2 x 3 x 277

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 = 1844820 = 2 x 2 x 3 x 3 x 5 x 37 x 277

Step 4: Therefore, the least common multiple of 3324 and 3330 is 1844820.