Least Common Multiple of 3357 and 3361

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 3361 the smallest integer that is 11282877 that is divisible by both numbers.

Least Common Multiple (LCM) of 3357 and 3361 is 11282877.

LCM(3357,3361) = 11282877

LCM of 3357 and 3361

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

LCM of:
and

Least Common Multiple of 3357 and 3361

LCM of 3357 and 3361 is 11282877

Least common multiple can be found by multiplying the highest exponent prime factors of 3357 and 3361. First we will calculate the prime factors of 3357 and 3361.

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 3361


3361 3361
1

Prime factors of 3361 are 3361. Prime factorization of 3361 in exponential form is:

3361 = 33611

Now multiplying the highest exponent prime factors to calculate the LCM of 3357 and 3361.

LCM(3357,3361) = 32×3731×33611
LCM(3357,3361) = 11282877

Factors of 3357

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

1, 3, 9, 373, 1119, 3357

Factors of 3361

List of positive integer factors of 3361 that divides 3361 without a remainder.

1, 3361

Least Common Multiple of 3357 and 3361 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 3361, than apply into the LCM equation.

GCF(3357,3361) = 1
LCM(3357,3361) = ( 3357 × 3361) / 1
LCM(3357,3361) = 11282877 / 1
LCM(3357,3361) = 11282877

Properties of LCM 3357 and 3361

(i) The LCM of 3361 and 3357 is associative

LCM of 3357 and 3361 = LCM of 3361 and 3357

Related Least Common Multiples of 3357

Related Least Common Multiples of 3361

Frequently Asked Questions on LCM of 3357 and 3361

1. What is the LCM of 3357 and 3361?

Answer: LCM of 3357 and 3361 is 11282877.

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 3361?

Answer: Factors of 3361 are 1, 3361. There are 2 integers that are factors of 3361. The greatest factor of 3361 is 3361.

4. How to Find the LCM of 3357 and 3361?

Answer:

Least Common Multiple of 3357 and 3361 = 11282877

Step 1: Find the prime factorization of 3357

3357 = 3 x 3 x 373

Step 2: Find the prime factorization of 3361

3361 = 3361

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

LCM = 11282877 = 3 x 3 x 373 x 3361

Step 4: Therefore, the least common multiple of 3357 and 3361 is 11282877.