Least Common Multiple of 3356 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 3356 and 3361 the smallest integer that is 11279516 that is divisible by both numbers.

Least Common Multiple (LCM) of 3356 and 3361 is 11279516.

LCM(3356,3361) = 11279516

LCM of 3356 and 3361

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

LCM of:
and

Least Common Multiple of 3356 and 3361

LCM of 3356 and 3361 is 11279516

Least common multiple can be found by multiplying the highest exponent prime factors of 3356 and 3361. First we will calculate the prime factors of 3356 and 3361.

Prime Factorization of 3356


2 3356
2 1678
839 839
1

Prime factors of 3356 are 2,839. Prime factorization of 3356 in exponential form is:

3356 = 22×8391

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 3356 and 3361.

LCM(3356,3361) = 22×8391×33611
LCM(3356,3361) = 11279516

Factors of 3356

List of positive integer factors of 3356 that divides 3356 without a remainder.

1, 2, 4, 839, 1678, 3356

Factors of 3361

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

1, 3361

Least Common Multiple of 3356 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 3356 and 3361, than apply into the LCM equation.

GCF(3356,3361) = 1
LCM(3356,3361) = ( 3356 × 3361) / 1
LCM(3356,3361) = 11279516 / 1
LCM(3356,3361) = 11279516

Properties of LCM 3356 and 3361

(i) The LCM of 3361 and 3356 is associative

LCM of 3356 and 3361 = LCM of 3361 and 3356

Related Least Common Multiples of 3356

Related Least Common Multiples of 3361

Frequently Asked Questions on LCM of 3356 and 3361

1. What is the LCM of 3356 and 3361?

Answer: LCM of 3356 and 3361 is 11279516.

2. What are the Factors of 3356?

Answer: Factors of 3356 are 1, 2, 4, 839, 1678, 3356. There are 6 integers that are factors of 3356. The greatest factor of 3356 is 3356.

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 3356 and 3361?

Answer:

Least Common Multiple of 3356 and 3361 = 11279516

Step 1: Find the prime factorization of 3356

3356 = 2 x 2 x 839

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 = 11279516 = 2 x 2 x 839 x 3361

Step 4: Therefore, the least common multiple of 3356 and 3361 is 11279516.