Least Common Multiple of 3308 and 3312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3308 and 3312 the smallest integer that is 2739024 that is divisible by both numbers.

Least Common Multiple (LCM) of 3308 and 3312 is 2739024.

LCM(3308,3312) = 2739024

LCM of 3308 and 3312

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

LCM of:
and

Least Common Multiple of 3308 and 3312

LCM of 3308 and 3312 is 2739024

Least common multiple can be found by multiplying the highest exponent prime factors of 3308 and 3312. First we will calculate the prime factors of 3308 and 3312.

Prime Factorization of 3308


2 3308
2 1654
827 827
1

Prime factors of 3308 are 2,827. Prime factorization of 3308 in exponential form is:

3308 = 22×8271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3308 and 3312.

LCM(3308,3312) = 24×32×231×8271
LCM(3308,3312) = 2739024

Factors of 3308

List of positive integer factors of 3308 that divides 3308 without a remainder.

1, 2, 4, 827, 1654, 3308

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

Least Common Multiple of 3308 and 3312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3308 and 3312, than apply into the LCM equation.

GCF(3308,3312) = 4
LCM(3308,3312) = ( 3308 × 3312) / 4
LCM(3308,3312) = 10956096 / 4
LCM(3308,3312) = 2739024

Properties of LCM 3308 and 3312

(i) The LCM of 3312 and 3308 is associative

LCM of 3308 and 3312 = LCM of 3312 and 3308

Related Least Common Multiples of 3308

Related Least Common Multiples of 3312

Frequently Asked Questions on LCM of 3308 and 3312

1. What is the LCM of 3308 and 3312?

Answer: LCM of 3308 and 3312 is 2739024.

2. What are the Factors of 3308?

Answer: Factors of 3308 are 1, 2, 4, 827, 1654, 3308. There are 6 integers that are factors of 3308. The greatest factor of 3308 is 3308.

3. 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.

4. How to Find the LCM of 3308 and 3312?

Answer:

Least Common Multiple of 3308 and 3312 = 2739024

Step 1: Find the prime factorization of 3308

3308 = 2 x 2 x 827

Step 2: Find the prime factorization of 3312

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

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

LCM = 2739024 = 2 x 2 x 2 x 2 x 3 x 3 x 23 x 827

Step 4: Therefore, the least common multiple of 3308 and 3312 is 2739024.