Least Common Multiple of 3388 and 3395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3388 and 3395 the smallest integer that is 1643180 that is divisible by both numbers.

Least Common Multiple (LCM) of 3388 and 3395 is 1643180.

LCM(3388,3395) = 1643180

LCM of 3388 and 3395

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

LCM of:
and

Least Common Multiple of 3388 and 3395

LCM of 3388 and 3395 is 1643180

Least common multiple can be found by multiplying the highest exponent prime factors of 3388 and 3395. First we will calculate the prime factors of 3388 and 3395.

Prime Factorization of 3388


2 3388
2 1694
7 847
11 121
11 11
1

Prime factors of 3388 are 2, 7,11. Prime factorization of 3388 in exponential form is:

3388 = 22×71×112

Prime Factorization of 3395


5 3395
7 679
97 97
1

Prime factors of 3395 are 5, 7,97. Prime factorization of 3395 in exponential form is:

3395 = 51×71×971

Now multiplying the highest exponent prime factors to calculate the LCM of 3388 and 3395.

LCM(3388,3395) = 22×51×71×112×971
LCM(3388,3395) = 1643180

Factors of 3388

List of positive integer factors of 3388 that divides 3388 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 121, 154, 242, 308, 484, 847, 1694, 3388

Factors of 3395

List of positive integer factors of 3395 that divides 3395 without a remainder.

1, 5, 7, 35, 97, 485, 679, 3395

Least Common Multiple of 3388 and 3395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3388 and 3395, than apply into the LCM equation.

GCF(3388,3395) = 7
LCM(3388,3395) = ( 3388 × 3395) / 7
LCM(3388,3395) = 11502260 / 7
LCM(3388,3395) = 1643180

Properties of LCM 3388 and 3395

(i) The LCM of 3395 and 3388 is associative

LCM of 3388 and 3395 = LCM of 3395 and 3388

Related Least Common Multiples of 3388

Related Least Common Multiples of 3395

Frequently Asked Questions on LCM of 3388 and 3395

1. What is the LCM of 3388 and 3395?

Answer: LCM of 3388 and 3395 is 1643180.

2. What are the Factors of 3388?

Answer: Factors of 3388 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 121, 154, 242, 308, 484, 847, 1694, 3388. There are 18 integers that are factors of 3388. The greatest factor of 3388 is 3388.

3. What are the Factors of 3395?

Answer: Factors of 3395 are 1, 5, 7, 35, 97, 485, 679, 3395. There are 8 integers that are factors of 3395. The greatest factor of 3395 is 3395.

4. How to Find the LCM of 3388 and 3395?

Answer:

Least Common Multiple of 3388 and 3395 = 1643180

Step 1: Find the prime factorization of 3388

3388 = 2 x 2 x 7 x 11 x 11

Step 2: Find the prime factorization of 3395

3395 = 5 x 7 x 97

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

LCM = 1643180 = 2 x 2 x 5 x 7 x 11 x 11 x 97

Step 4: Therefore, the least common multiple of 3388 and 3395 is 1643180.