Least Common Multiple of 3392 and 3396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3392 and 3396 the smallest integer that is 2879808 that is divisible by both numbers.

Least Common Multiple (LCM) of 3392 and 3396 is 2879808.

LCM(3392,3396) = 2879808

LCM of 3392 and 3396

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

LCM of:
and

Least Common Multiple of 3392 and 3396

LCM of 3392 and 3396 is 2879808

Least common multiple can be found by multiplying the highest exponent prime factors of 3392 and 3396. First we will calculate the prime factors of 3392 and 3396.

Prime Factorization of 3392


2 3392
2 1696
2 848
2 424
2 212
2 106
53 53
1

Prime factors of 3392 are 2,53. Prime factorization of 3392 in exponential form is:

3392 = 26×531

Prime Factorization of 3396


2 3396
2 1698
3 849
283 283
1

Prime factors of 3396 are 2, 3,283. Prime factorization of 3396 in exponential form is:

3396 = 22×31×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 3392 and 3396.

LCM(3392,3396) = 26×31×531×2831
LCM(3392,3396) = 2879808

Factors of 3392

List of positive integer factors of 3392 that divides 3392 without a remainder.

1, 2, 4, 8, 16, 32, 53, 64, 106, 212, 424, 848, 1696, 3392

Factors of 3396

List of positive integer factors of 3396 that divides 3396 without a remainder.

1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698, 3396

Least Common Multiple of 3392 and 3396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3392 and 3396, than apply into the LCM equation.

GCF(3392,3396) = 4
LCM(3392,3396) = ( 3392 × 3396) / 4
LCM(3392,3396) = 11519232 / 4
LCM(3392,3396) = 2879808

Properties of LCM 3392 and 3396

(i) The LCM of 3396 and 3392 is associative

LCM of 3392 and 3396 = LCM of 3396 and 3392

Related Least Common Multiples of 3392

Related Least Common Multiples of 3396

Frequently Asked Questions on LCM of 3392 and 3396

1. What is the LCM of 3392 and 3396?

Answer: LCM of 3392 and 3396 is 2879808.

2. What are the Factors of 3392?

Answer: Factors of 3392 are 1, 2, 4, 8, 16, 32, 53, 64, 106, 212, 424, 848, 1696, 3392. There are 14 integers that are factors of 3392. The greatest factor of 3392 is 3392.

3. What are the Factors of 3396?

Answer: Factors of 3396 are 1, 2, 3, 4, 6, 12, 283, 566, 849, 1132, 1698, 3396. There are 12 integers that are factors of 3396. The greatest factor of 3396 is 3396.

4. How to Find the LCM of 3392 and 3396?

Answer:

Least Common Multiple of 3392 and 3396 = 2879808

Step 1: Find the prime factorization of 3392

3392 = 2 x 2 x 2 x 2 x 2 x 2 x 53

Step 2: Find the prime factorization of 3396

3396 = 2 x 2 x 3 x 283

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

LCM = 2879808 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 53 x 283

Step 4: Therefore, the least common multiple of 3392 and 3396 is 2879808.