Least Common Multiple of 3357 and 3362

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 3362 the smallest integer that is 11286234 that is divisible by both numbers.

Least Common Multiple (LCM) of 3357 and 3362 is 11286234.

LCM(3357,3362) = 11286234

LCM of 3357 and 3362

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

LCM of:
and

Least Common Multiple of 3357 and 3362

LCM of 3357 and 3362 is 11286234

Least common multiple can be found by multiplying the highest exponent prime factors of 3357 and 3362. First we will calculate the prime factors of 3357 and 3362.

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 3362


2 3362
41 1681
41 41
1

Prime factors of 3362 are 2,41. Prime factorization of 3362 in exponential form is:

3362 = 21×412

Now multiplying the highest exponent prime factors to calculate the LCM of 3357 and 3362.

LCM(3357,3362) = 21×32×412×3731
LCM(3357,3362) = 11286234

Factors of 3357

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

1, 3, 9, 373, 1119, 3357

Factors of 3362

List of positive integer factors of 3362 that divides 3362 without a remainder.

1, 2, 41, 82, 1681, 3362

Least Common Multiple of 3357 and 3362 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 3362, than apply into the LCM equation.

GCF(3357,3362) = 1
LCM(3357,3362) = ( 3357 × 3362) / 1
LCM(3357,3362) = 11286234 / 1
LCM(3357,3362) = 11286234

Properties of LCM 3357 and 3362

(i) The LCM of 3362 and 3357 is associative

LCM of 3357 and 3362 = LCM of 3362 and 3357

Related Least Common Multiples of 3357

Related Least Common Multiples of 3362

Frequently Asked Questions on LCM of 3357 and 3362

1. What is the LCM of 3357 and 3362?

Answer: LCM of 3357 and 3362 is 11286234.

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 3362?

Answer: Factors of 3362 are 1, 2, 41, 82, 1681, 3362. There are 6 integers that are factors of 3362. The greatest factor of 3362 is 3362.

4. How to Find the LCM of 3357 and 3362?

Answer:

Least Common Multiple of 3357 and 3362 = 11286234

Step 1: Find the prime factorization of 3357

3357 = 3 x 3 x 373

Step 2: Find the prime factorization of 3362

3362 = 2 x 41 x 41

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

LCM = 11286234 = 2 x 3 x 3 x 41 x 41 x 373

Step 4: Therefore, the least common multiple of 3357 and 3362 is 11286234.