Least Common Multiple of 3328 and 3336

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 3336 the smallest integer that is 1387776 that is divisible by both numbers.

Least Common Multiple (LCM) of 3328 and 3336 is 1387776.

LCM(3328,3336) = 1387776

LCM of 3328 and 3336

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

LCM of:
and

Least Common Multiple of 3328 and 3336

LCM of 3328 and 3336 is 1387776

Least common multiple can be found by multiplying the highest exponent prime factors of 3328 and 3336. First we will calculate the prime factors of 3328 and 3336.

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 3336


2 3336
2 1668
2 834
3 417
139 139
1

Prime factors of 3336 are 2, 3,139. Prime factorization of 3336 in exponential form is:

3336 = 23×31×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 3328 and 3336.

LCM(3328,3336) = 28×31×131×1391
LCM(3328,3336) = 1387776

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 3336

List of positive integer factors of 3336 that divides 3336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336

Least Common Multiple of 3328 and 3336 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 3336, than apply into the LCM equation.

GCF(3328,3336) = 8
LCM(3328,3336) = ( 3328 × 3336) / 8
LCM(3328,3336) = 11102208 / 8
LCM(3328,3336) = 1387776

Properties of LCM 3328 and 3336

(i) The LCM of 3336 and 3328 is associative

LCM of 3328 and 3336 = LCM of 3336 and 3328

Related Least Common Multiples of 3328

Related Least Common Multiples of 3336

Frequently Asked Questions on LCM of 3328 and 3336

1. What is the LCM of 3328 and 3336?

Answer: LCM of 3328 and 3336 is 1387776.

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 3336?

Answer: Factors of 3336 are 1, 2, 3, 4, 6, 8, 12, 24, 139, 278, 417, 556, 834, 1112, 1668, 3336. There are 16 integers that are factors of 3336. The greatest factor of 3336 is 3336.

4. How to Find the LCM of 3328 and 3336?

Answer:

Least Common Multiple of 3328 and 3336 = 1387776

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 3336

3336 = 2 x 2 x 2 x 3 x 139

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

LCM = 1387776 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 139

Step 4: Therefore, the least common multiple of 3328 and 3336 is 1387776.