Least Common Multiple of 3357 and 3364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3357 and 3364 the smallest integer that is 11292948 that is divisible by both numbers.

Least Common Multiple (LCM) of 3357 and 3364 is 11292948.

LCM(3357,3364) = 11292948

LCM of 3357 and 3364

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

LCM of:
and

Least Common Multiple of 3357 and 3364

LCM of 3357 and 3364 is 11292948

Least common multiple can be found by multiplying the highest exponent prime factors of 3357 and 3364. First we will calculate the prime factors of 3357 and 3364.

Prime Factorization of 3357


3 3357
3 1119
373 373
1

Prime factors of 3357 are 3,373. Prime factorization of 3357 in exponential form is:

3357 = 32×3731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3357 and 3364.

LCM(3357,3364) = 22×32×292×3731
LCM(3357,3364) = 11292948

Factors of 3357

List of positive integer factors of 3357 that divides 3357 without a remainder.

1, 3, 9, 373, 1119, 3357

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

Least Common Multiple of 3357 and 3364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3357 and 3364, than apply into the LCM equation.

GCF(3357,3364) = 1
LCM(3357,3364) = ( 3357 × 3364) / 1
LCM(3357,3364) = 11292948 / 1
LCM(3357,3364) = 11292948

Properties of LCM 3357 and 3364

(i) The LCM of 3364 and 3357 is associative

LCM of 3357 and 3364 = LCM of 3364 and 3357

Related Least Common Multiples of 3357

Related Least Common Multiples of 3364

Frequently Asked Questions on LCM of 3357 and 3364

1. What is the LCM of 3357 and 3364?

Answer: LCM of 3357 and 3364 is 11292948.

2. What are the Factors of 3357?

Answer: Factors of 3357 are 1, 3, 9, 373, 1119, 3357. There are 6 integers that are factors of 3357. The greatest factor of 3357 is 3357.

3. 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.

4. How to Find the LCM of 3357 and 3364?

Answer:

Least Common Multiple of 3357 and 3364 = 11292948

Step 1: Find the prime factorization of 3357

3357 = 3 x 3 x 373

Step 2: Find the prime factorization of 3364

3364 = 2 x 2 x 29 x 29

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

LCM = 11292948 = 2 x 2 x 3 x 3 x 29 x 29 x 373

Step 4: Therefore, the least common multiple of 3357 and 3364 is 11292948.