Least Common Multiple of 3320 and 3324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3320 and 3324 the smallest integer that is 2758920 that is divisible by both numbers.

Least Common Multiple (LCM) of 3320 and 3324 is 2758920.

LCM(3320,3324) = 2758920

LCM of 3320 and 3324

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

LCM of:
and

Least Common Multiple of 3320 and 3324

LCM of 3320 and 3324 is 2758920

Least common multiple can be found by multiplying the highest exponent prime factors of 3320 and 3324. First we will calculate the prime factors of 3320 and 3324.

Prime Factorization of 3320


2 3320
2 1660
2 830
5 415
83 83
1

Prime factors of 3320 are 2, 5,83. Prime factorization of 3320 in exponential form is:

3320 = 23×51×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3320 and 3324.

LCM(3320,3324) = 23×31×51×831×2771
LCM(3320,3324) = 2758920

Factors of 3320

List of positive integer factors of 3320 that divides 3320 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320

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

Least Common Multiple of 3320 and 3324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3320 and 3324, than apply into the LCM equation.

GCF(3320,3324) = 4
LCM(3320,3324) = ( 3320 × 3324) / 4
LCM(3320,3324) = 11035680 / 4
LCM(3320,3324) = 2758920

Properties of LCM 3320 and 3324

(i) The LCM of 3324 and 3320 is associative

LCM of 3320 and 3324 = LCM of 3324 and 3320

Related Least Common Multiples of 3320

Related Least Common Multiples of 3324

Frequently Asked Questions on LCM of 3320 and 3324

1. What is the LCM of 3320 and 3324?

Answer: LCM of 3320 and 3324 is 2758920.

2. What are the Factors of 3320?

Answer: Factors of 3320 are 1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320. There are 16 integers that are factors of 3320. The greatest factor of 3320 is 3320.

3. 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.

4. How to Find the LCM of 3320 and 3324?

Answer:

Least Common Multiple of 3320 and 3324 = 2758920

Step 1: Find the prime factorization of 3320

3320 = 2 x 2 x 2 x 5 x 83

Step 2: Find the prime factorization of 3324

3324 = 2 x 2 x 3 x 277

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

LCM = 2758920 = 2 x 2 x 2 x 3 x 5 x 83 x 277

Step 4: Therefore, the least common multiple of 3320 and 3324 is 2758920.