Least Common Multiple of 3356 and 3357

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 3357 the smallest integer that is 11266092 that is divisible by both numbers.

Least Common Multiple (LCM) of 3356 and 3357 is 11266092.

LCM(3356,3357) = 11266092

LCM of 3356 and 3357

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

LCM of:
and

Least Common Multiple of 3356 and 3357

LCM of 3356 and 3357 is 11266092

Least common multiple can be found by multiplying the highest exponent prime factors of 3356 and 3357. First we will calculate the prime factors of 3356 and 3357.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 3356 and 3357.

LCM(3356,3357) = 22×32×3731×8391
LCM(3356,3357) = 11266092

Factors of 3356

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

1, 2, 4, 839, 1678, 3356

Factors of 3357

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

1, 3, 9, 373, 1119, 3357

Least Common Multiple of 3356 and 3357 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 3357, than apply into the LCM equation.

GCF(3356,3357) = 1
LCM(3356,3357) = ( 3356 × 3357) / 1
LCM(3356,3357) = 11266092 / 1
LCM(3356,3357) = 11266092

Properties of LCM 3356 and 3357

(i) The LCM of 3357 and 3356 is associative

LCM of 3356 and 3357 = LCM of 3357 and 3356

Related Least Common Multiples of 3356

Related Least Common Multiples of 3357

Frequently Asked Questions on LCM of 3356 and 3357

1. What is the LCM of 3356 and 3357?

Answer: LCM of 3356 and 3357 is 11266092.

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 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.

4. How to Find the LCM of 3356 and 3357?

Answer:

Least Common Multiple of 3356 and 3357 = 11266092

Step 1: Find the prime factorization of 3356

3356 = 2 x 2 x 839

Step 2: Find the prime factorization of 3357

3357 = 3 x 3 x 373

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

LCM = 11266092 = 2 x 2 x 3 x 3 x 373 x 839

Step 4: Therefore, the least common multiple of 3356 and 3357 is 11266092.