Least Common Multiple of 3364 and 3367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3364 and 3367 the smallest integer that is 11326588 that is divisible by both numbers.

Least Common Multiple (LCM) of 3364 and 3367 is 11326588.

LCM(3364,3367) = 11326588

LCM of 3364 and 3367

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

LCM of:
and

Least Common Multiple of 3364 and 3367

LCM of 3364 and 3367 is 11326588

Least common multiple can be found by multiplying the highest exponent prime factors of 3364 and 3367. First we will calculate the prime factors of 3364 and 3367.

Prime Factorization of 3364


2 3364
2 1682
29 841
29 29
1

Prime factors of 3364 are 2,29. Prime factorization of 3364 in exponential form is:

3364 = 22×292

Prime Factorization of 3367


7 3367
13 481
37 37
1

Prime factors of 3367 are 7, 13,37. Prime factorization of 3367 in exponential form is:

3367 = 71×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 3364 and 3367.

LCM(3364,3367) = 22×71×131×292×371
LCM(3364,3367) = 11326588

Factors of 3364

List of positive integer factors of 3364 that divides 3364 without a remainder.

1, 2, 4, 29, 58, 116, 841, 1682, 3364

Factors of 3367

List of positive integer factors of 3367 that divides 3367 without a remainder.

1, 7, 13, 37, 91, 259, 481, 3367

Least Common Multiple of 3364 and 3367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3364 and 3367, than apply into the LCM equation.

GCF(3364,3367) = 1
LCM(3364,3367) = ( 3364 × 3367) / 1
LCM(3364,3367) = 11326588 / 1
LCM(3364,3367) = 11326588

Properties of LCM 3364 and 3367

(i) The LCM of 3367 and 3364 is associative

LCM of 3364 and 3367 = LCM of 3367 and 3364

Related Least Common Multiples of 3364

Related Least Common Multiples of 3367

Frequently Asked Questions on LCM of 3364 and 3367

1. What is the LCM of 3364 and 3367?

Answer: LCM of 3364 and 3367 is 11326588.

2. What are the Factors of 3364?

Answer: Factors of 3364 are 1, 2, 4, 29, 58, 116, 841, 1682, 3364. There are 9 integers that are factors of 3364. The greatest factor of 3364 is 3364.

3. What are the Factors of 3367?

Answer: Factors of 3367 are 1, 7, 13, 37, 91, 259, 481, 3367. There are 8 integers that are factors of 3367. The greatest factor of 3367 is 3367.

4. How to Find the LCM of 3364 and 3367?

Answer:

Least Common Multiple of 3364 and 3367 = 11326588

Step 1: Find the prime factorization of 3364

3364 = 2 x 2 x 29 x 29

Step 2: Find the prime factorization of 3367

3367 = 7 x 13 x 37

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

LCM = 11326588 = 2 x 2 x 7 x 13 x 29 x 29 x 37

Step 4: Therefore, the least common multiple of 3364 and 3367 is 11326588.