Least Common Multiple of 3328 and 3332

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 3332 the smallest integer that is 2772224 that is divisible by both numbers.

Least Common Multiple (LCM) of 3328 and 3332 is 2772224.

LCM(3328,3332) = 2772224

LCM of 3328 and 3332

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

LCM of:
and

Least Common Multiple of 3328 and 3332

LCM of 3328 and 3332 is 2772224

Least common multiple can be found by multiplying the highest exponent prime factors of 3328 and 3332. First we will calculate the prime factors of 3328 and 3332.

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 3332


2 3332
2 1666
7 833
7 119
17 17
1

Prime factors of 3332 are 2, 7,17. Prime factorization of 3332 in exponential form is:

3332 = 22×72×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3328 and 3332.

LCM(3328,3332) = 28×72×131×171
LCM(3328,3332) = 2772224

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 3332

List of positive integer factors of 3332 that divides 3332 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666, 3332

Least Common Multiple of 3328 and 3332 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 3332, than apply into the LCM equation.

GCF(3328,3332) = 4
LCM(3328,3332) = ( 3328 × 3332) / 4
LCM(3328,3332) = 11088896 / 4
LCM(3328,3332) = 2772224

Properties of LCM 3328 and 3332

(i) The LCM of 3332 and 3328 is associative

LCM of 3328 and 3332 = LCM of 3332 and 3328

Related Least Common Multiples of 3328

Related Least Common Multiples of 3332

Frequently Asked Questions on LCM of 3328 and 3332

1. What is the LCM of 3328 and 3332?

Answer: LCM of 3328 and 3332 is 2772224.

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 3332?

Answer: Factors of 3332 are 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666, 3332. There are 18 integers that are factors of 3332. The greatest factor of 3332 is 3332.

4. How to Find the LCM of 3328 and 3332?

Answer:

Least Common Multiple of 3328 and 3332 = 2772224

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 3332

3332 = 2 x 2 x 7 x 7 x 17

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

LCM = 2772224 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 3328 and 3332 is 2772224.