Least Common Multiple of 3328 and 3334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3328 and 3334 the smallest integer that is 5547776 that is divisible by both numbers.

Least Common Multiple (LCM) of 3328 and 3334 is 5547776.

LCM(3328,3334) = 5547776

LCM of 3328 and 3334

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

LCM of:
and

Least Common Multiple of 3328 and 3334

LCM of 3328 and 3334 is 5547776

Least common multiple can be found by multiplying the highest exponent prime factors of 3328 and 3334. First we will calculate the prime factors of 3328 and 3334.

Prime Factorization of 3328


2 3328
2 1664
2 832
2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 3328 are 2,13. Prime factorization of 3328 in exponential form is:

3328 = 28×131

Prime Factorization of 3334


2 3334
1667 1667
1

Prime factors of 3334 are 2,1667. Prime factorization of 3334 in exponential form is:

3334 = 21×16671

Now multiplying the highest exponent prime factors to calculate the LCM of 3328 and 3334.

LCM(3328,3334) = 28×131×16671
LCM(3328,3334) = 5547776

Factors of 3328

List of positive integer factors of 3328 that divides 3328 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 832, 1664, 3328

Factors of 3334

List of positive integer factors of 3334 that divides 3334 without a remainder.

1, 2, 1667, 3334

Least Common Multiple of 3328 and 3334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3328 and 3334, than apply into the LCM equation.

GCF(3328,3334) = 2
LCM(3328,3334) = ( 3328 × 3334) / 2
LCM(3328,3334) = 11095552 / 2
LCM(3328,3334) = 5547776

Properties of LCM 3328 and 3334

(i) The LCM of 3334 and 3328 is associative

LCM of 3328 and 3334 = LCM of 3334 and 3328

Related Least Common Multiples of 3328

Related Least Common Multiples of 3334

Frequently Asked Questions on LCM of 3328 and 3334

1. What is the LCM of 3328 and 3334?

Answer: LCM of 3328 and 3334 is 5547776.

2. What are the Factors of 3328?

Answer: Factors of 3328 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 832, 1664, 3328. There are 18 integers that are factors of 3328. The greatest factor of 3328 is 3328.

3. What are the Factors of 3334?

Answer: Factors of 3334 are 1, 2, 1667, 3334. There are 4 integers that are factors of 3334. The greatest factor of 3334 is 3334.

4. How to Find the LCM of 3328 and 3334?

Answer:

Least Common Multiple of 3328 and 3334 = 5547776

Step 1: Find the prime factorization of 3328

3328 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13

Step 2: Find the prime factorization of 3334

3334 = 2 x 1667

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

LCM = 5547776 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13 x 1667

Step 4: Therefore, the least common multiple of 3328 and 3334 is 5547776.