Least Common Multiple of 3316 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 3316 and 3324 the smallest integer that is 2755596 that is divisible by both numbers.

Least Common Multiple (LCM) of 3316 and 3324 is 2755596.

LCM(3316,3324) = 2755596

LCM of 3316 and 3324

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

LCM of:
and

Least Common Multiple of 3316 and 3324

LCM of 3316 and 3324 is 2755596

Least common multiple can be found by multiplying the highest exponent prime factors of 3316 and 3324. First we will calculate the prime factors of 3316 and 3324.

Prime Factorization of 3316


2 3316
2 1658
829 829
1

Prime factors of 3316 are 2,829. Prime factorization of 3316 in exponential form is:

3316 = 22×8291

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 3316 and 3324.

LCM(3316,3324) = 22×31×2771×8291
LCM(3316,3324) = 2755596

Factors of 3316

List of positive integer factors of 3316 that divides 3316 without a remainder.

1, 2, 4, 829, 1658, 3316

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 3316 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 3316 and 3324, than apply into the LCM equation.

GCF(3316,3324) = 4
LCM(3316,3324) = ( 3316 × 3324) / 4
LCM(3316,3324) = 11022384 / 4
LCM(3316,3324) = 2755596

Properties of LCM 3316 and 3324

(i) The LCM of 3324 and 3316 is associative

LCM of 3316 and 3324 = LCM of 3324 and 3316

Related Least Common Multiples of 3316

Related Least Common Multiples of 3324

Frequently Asked Questions on LCM of 3316 and 3324

1. What is the LCM of 3316 and 3324?

Answer: LCM of 3316 and 3324 is 2755596.

2. What are the Factors of 3316?

Answer: Factors of 3316 are 1, 2, 4, 829, 1658, 3316. There are 6 integers that are factors of 3316. The greatest factor of 3316 is 3316.

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 3316 and 3324?

Answer:

Least Common Multiple of 3316 and 3324 = 2755596

Step 1: Find the prime factorization of 3316

3316 = 2 x 2 x 829

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 = 2755596 = 2 x 2 x 3 x 277 x 829

Step 4: Therefore, the least common multiple of 3316 and 3324 is 2755596.