Least Common Multiple of 3385 and 3392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3385 and 3392 the smallest integer that is 11481920 that is divisible by both numbers.

Least Common Multiple (LCM) of 3385 and 3392 is 11481920.

LCM(3385,3392) = 11481920

LCM of 3385 and 3392

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

LCM of:
and

Least Common Multiple of 3385 and 3392

LCM of 3385 and 3392 is 11481920

Least common multiple can be found by multiplying the highest exponent prime factors of 3385 and 3392. First we will calculate the prime factors of 3385 and 3392.

Prime Factorization of 3385


5 3385
677 677
1

Prime factors of 3385 are 5,677. Prime factorization of 3385 in exponential form is:

3385 = 51×6771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3385 and 3392.

LCM(3385,3392) = 26×51×531×6771
LCM(3385,3392) = 11481920

Factors of 3385

List of positive integer factors of 3385 that divides 3385 without a remainder.

1, 5, 677, 3385

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

Least Common Multiple of 3385 and 3392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3385 and 3392, than apply into the LCM equation.

GCF(3385,3392) = 1
LCM(3385,3392) = ( 3385 × 3392) / 1
LCM(3385,3392) = 11481920 / 1
LCM(3385,3392) = 11481920

Properties of LCM 3385 and 3392

(i) The LCM of 3392 and 3385 is associative

LCM of 3385 and 3392 = LCM of 3392 and 3385

Related Least Common Multiples of 3385

Related Least Common Multiples of 3392

Frequently Asked Questions on LCM of 3385 and 3392

1. What is the LCM of 3385 and 3392?

Answer: LCM of 3385 and 3392 is 11481920.

2. What are the Factors of 3385?

Answer: Factors of 3385 are 1, 5, 677, 3385. There are 4 integers that are factors of 3385. The greatest factor of 3385 is 3385.

3. 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.

4. How to Find the LCM of 3385 and 3392?

Answer:

Least Common Multiple of 3385 and 3392 = 11481920

Step 1: Find the prime factorization of 3385

3385 = 5 x 677

Step 2: Find the prime factorization of 3392

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

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

LCM = 11481920 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 53 x 677

Step 4: Therefore, the least common multiple of 3385 and 3392 is 11481920.