Least Common Multiple of 3356 and 3359

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 3359 the smallest integer that is 11272804 that is divisible by both numbers.

Least Common Multiple (LCM) of 3356 and 3359 is 11272804.

LCM(3356,3359) = 11272804

LCM of 3356 and 3359

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

LCM of:
and

Least Common Multiple of 3356 and 3359

LCM of 3356 and 3359 is 11272804

Least common multiple can be found by multiplying the highest exponent prime factors of 3356 and 3359. First we will calculate the prime factors of 3356 and 3359.

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 3359


3359 3359
1

Prime factors of 3359 are 3359. Prime factorization of 3359 in exponential form is:

3359 = 33591

Now multiplying the highest exponent prime factors to calculate the LCM of 3356 and 3359.

LCM(3356,3359) = 22×8391×33591
LCM(3356,3359) = 11272804

Factors of 3356

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

1, 2, 4, 839, 1678, 3356

Factors of 3359

List of positive integer factors of 3359 that divides 3359 without a remainder.

1, 3359

Least Common Multiple of 3356 and 3359 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 3359, than apply into the LCM equation.

GCF(3356,3359) = 1
LCM(3356,3359) = ( 3356 × 3359) / 1
LCM(3356,3359) = 11272804 / 1
LCM(3356,3359) = 11272804

Properties of LCM 3356 and 3359

(i) The LCM of 3359 and 3356 is associative

LCM of 3356 and 3359 = LCM of 3359 and 3356

Related Least Common Multiples of 3356

Related Least Common Multiples of 3359

Frequently Asked Questions on LCM of 3356 and 3359

1. What is the LCM of 3356 and 3359?

Answer: LCM of 3356 and 3359 is 11272804.

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 3359?

Answer: Factors of 3359 are 1, 3359. There are 2 integers that are factors of 3359. The greatest factor of 3359 is 3359.

4. How to Find the LCM of 3356 and 3359?

Answer:

Least Common Multiple of 3356 and 3359 = 11272804

Step 1: Find the prime factorization of 3356

3356 = 2 x 2 x 839

Step 2: Find the prime factorization of 3359

3359 = 3359

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

LCM = 11272804 = 2 x 2 x 839 x 3359

Step 4: Therefore, the least common multiple of 3356 and 3359 is 11272804.