Least Common Multiple of 3364 and 3369

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 3369 the smallest integer that is 11333316 that is divisible by both numbers.

Least Common Multiple (LCM) of 3364 and 3369 is 11333316.

LCM(3364,3369) = 11333316

LCM of 3364 and 3369

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

LCM of:
and

Least Common Multiple of 3364 and 3369

LCM of 3364 and 3369 is 11333316

Least common multiple can be found by multiplying the highest exponent prime factors of 3364 and 3369. First we will calculate the prime factors of 3364 and 3369.

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 3369


3 3369
1123 1123
1

Prime factors of 3369 are 3,1123. Prime factorization of 3369 in exponential form is:

3369 = 31×11231

Now multiplying the highest exponent prime factors to calculate the LCM of 3364 and 3369.

LCM(3364,3369) = 22×31×292×11231
LCM(3364,3369) = 11333316

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 3369

List of positive integer factors of 3369 that divides 3369 without a remainder.

1, 3, 1123, 3369

Least Common Multiple of 3364 and 3369 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 3369, than apply into the LCM equation.

GCF(3364,3369) = 1
LCM(3364,3369) = ( 3364 × 3369) / 1
LCM(3364,3369) = 11333316 / 1
LCM(3364,3369) = 11333316

Properties of LCM 3364 and 3369

(i) The LCM of 3369 and 3364 is associative

LCM of 3364 and 3369 = LCM of 3369 and 3364

Related Least Common Multiples of 3364

Related Least Common Multiples of 3369

Frequently Asked Questions on LCM of 3364 and 3369

1. What is the LCM of 3364 and 3369?

Answer: LCM of 3364 and 3369 is 11333316.

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 3369?

Answer: Factors of 3369 are 1, 3, 1123, 3369. There are 4 integers that are factors of 3369. The greatest factor of 3369 is 3369.

4. How to Find the LCM of 3364 and 3369?

Answer:

Least Common Multiple of 3364 and 3369 = 11333316

Step 1: Find the prime factorization of 3364

3364 = 2 x 2 x 29 x 29

Step 2: Find the prime factorization of 3369

3369 = 3 x 1123

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

LCM = 11333316 = 2 x 2 x 3 x 29 x 29 x 1123

Step 4: Therefore, the least common multiple of 3364 and 3369 is 11333316.