Least Common Multiple of 3357 and 3363

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 3363 the smallest integer that is 3763197 that is divisible by both numbers.

Least Common Multiple (LCM) of 3357 and 3363 is 3763197.

LCM(3357,3363) = 3763197

LCM of 3357 and 3363

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

LCM of:
and

Least Common Multiple of 3357 and 3363

LCM of 3357 and 3363 is 3763197

Least common multiple can be found by multiplying the highest exponent prime factors of 3357 and 3363. First we will calculate the prime factors of 3357 and 3363.

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 3363


3 3363
19 1121
59 59
1

Prime factors of 3363 are 3, 19,59. Prime factorization of 3363 in exponential form is:

3363 = 31×191×591

Now multiplying the highest exponent prime factors to calculate the LCM of 3357 and 3363.

LCM(3357,3363) = 32×191×591×3731
LCM(3357,3363) = 3763197

Factors of 3357

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

1, 3, 9, 373, 1119, 3357

Factors of 3363

List of positive integer factors of 3363 that divides 3363 without a remainder.

1, 3, 19, 57, 59, 177, 1121, 3363

Least Common Multiple of 3357 and 3363 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 3363, than apply into the LCM equation.

GCF(3357,3363) = 3
LCM(3357,3363) = ( 3357 × 3363) / 3
LCM(3357,3363) = 11289591 / 3
LCM(3357,3363) = 3763197

Properties of LCM 3357 and 3363

(i) The LCM of 3363 and 3357 is associative

LCM of 3357 and 3363 = LCM of 3363 and 3357

Related Least Common Multiples of 3357

Related Least Common Multiples of 3363

Frequently Asked Questions on LCM of 3357 and 3363

1. What is the LCM of 3357 and 3363?

Answer: LCM of 3357 and 3363 is 3763197.

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 3363?

Answer: Factors of 3363 are 1, 3, 19, 57, 59, 177, 1121, 3363. There are 8 integers that are factors of 3363. The greatest factor of 3363 is 3363.

4. How to Find the LCM of 3357 and 3363?

Answer:

Least Common Multiple of 3357 and 3363 = 3763197

Step 1: Find the prime factorization of 3357

3357 = 3 x 3 x 373

Step 2: Find the prime factorization of 3363

3363 = 3 x 19 x 59

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

LCM = 3763197 = 3 x 3 x 19 x 59 x 373

Step 4: Therefore, the least common multiple of 3357 and 3363 is 3763197.