Least Common Multiple of 3380 and 3385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3380 and 3385 the smallest integer that is 2288260 that is divisible by both numbers.

Least Common Multiple (LCM) of 3380 and 3385 is 2288260.

LCM(3380,3385) = 2288260

LCM of 3380 and 3385

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

LCM of:
and

Least Common Multiple of 3380 and 3385

LCM of 3380 and 3385 is 2288260

Least common multiple can be found by multiplying the highest exponent prime factors of 3380 and 3385. First we will calculate the prime factors of 3380 and 3385.

Prime Factorization of 3380


2 3380
2 1690
5 845
13 169
13 13
1

Prime factors of 3380 are 2, 5,13. Prime factorization of 3380 in exponential form is:

3380 = 22×51×132

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3380 and 3385.

LCM(3380,3385) = 22×51×132×6771
LCM(3380,3385) = 2288260

Factors of 3380

List of positive integer factors of 3380 that divides 3380 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380

Factors of 3385

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

1, 5, 677, 3385

Least Common Multiple of 3380 and 3385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3380 and 3385, than apply into the LCM equation.

GCF(3380,3385) = 5
LCM(3380,3385) = ( 3380 × 3385) / 5
LCM(3380,3385) = 11441300 / 5
LCM(3380,3385) = 2288260

Properties of LCM 3380 and 3385

(i) The LCM of 3385 and 3380 is associative

LCM of 3380 and 3385 = LCM of 3385 and 3380

Related Least Common Multiples of 3380

Related Least Common Multiples of 3385

Frequently Asked Questions on LCM of 3380 and 3385

1. What is the LCM of 3380 and 3385?

Answer: LCM of 3380 and 3385 is 2288260.

2. What are the Factors of 3380?

Answer: Factors of 3380 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 3380. There are 18 integers that are factors of 3380. The greatest factor of 3380 is 3380.

3. 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.

4. How to Find the LCM of 3380 and 3385?

Answer:

Least Common Multiple of 3380 and 3385 = 2288260

Step 1: Find the prime factorization of 3380

3380 = 2 x 2 x 5 x 13 x 13

Step 2: Find the prime factorization of 3385

3385 = 5 x 677

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

LCM = 2288260 = 2 x 2 x 5 x 13 x 13 x 677

Step 4: Therefore, the least common multiple of 3380 and 3385 is 2288260.