Least Common Multiple of 3312 and 3316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3312 and 3316 the smallest integer that is 2745648 that is divisible by both numbers.

Least Common Multiple (LCM) of 3312 and 3316 is 2745648.

LCM(3312,3316) = 2745648

LCM of 3312 and 3316

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

LCM of:
and

Least Common Multiple of 3312 and 3316

LCM of 3312 and 3316 is 2745648

Least common multiple can be found by multiplying the highest exponent prime factors of 3312 and 3316. First we will calculate the prime factors of 3312 and 3316.

Prime Factorization of 3312


2 3312
2 1656
2 828
2 414
3 207
3 69
23 23
1

Prime factors of 3312 are 2, 3,23. Prime factorization of 3312 in exponential form is:

3312 = 24×32×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3312 and 3316.

LCM(3312,3316) = 24×32×231×8291
LCM(3312,3316) = 2745648

Factors of 3312

List of positive integer factors of 3312 that divides 3312 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656, 3312

Factors of 3316

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

1, 2, 4, 829, 1658, 3316

Least Common Multiple of 3312 and 3316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3312 and 3316, than apply into the LCM equation.

GCF(3312,3316) = 4
LCM(3312,3316) = ( 3312 × 3316) / 4
LCM(3312,3316) = 10982592 / 4
LCM(3312,3316) = 2745648

Properties of LCM 3312 and 3316

(i) The LCM of 3316 and 3312 is associative

LCM of 3312 and 3316 = LCM of 3316 and 3312

Related Least Common Multiples of 3312

Related Least Common Multiples of 3316

Frequently Asked Questions on LCM of 3312 and 3316

1. What is the LCM of 3312 and 3316?

Answer: LCM of 3312 and 3316 is 2745648.

2. What are the Factors of 3312?

Answer: Factors of 3312 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1656, 3312. There are 30 integers that are factors of 3312. The greatest factor of 3312 is 3312.

3. 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.

4. How to Find the LCM of 3312 and 3316?

Answer:

Least Common Multiple of 3312 and 3316 = 2745648

Step 1: Find the prime factorization of 3312

3312 = 2 x 2 x 2 x 2 x 3 x 3 x 23

Step 2: Find the prime factorization of 3316

3316 = 2 x 2 x 829

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

LCM = 2745648 = 2 x 2 x 2 x 2 x 3 x 3 x 23 x 829

Step 4: Therefore, the least common multiple of 3312 and 3316 is 2745648.