Least Common Multiple of 3352 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 3352 and 3357 the smallest integer that is 11252664 that is divisible by both numbers.

Least Common Multiple (LCM) of 3352 and 3357 is 11252664.

LCM(3352,3357) = 11252664

LCM of 3352 and 3357

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

LCM of:
and

Least Common Multiple of 3352 and 3357

LCM of 3352 and 3357 is 11252664

Least common multiple can be found by multiplying the highest exponent prime factors of 3352 and 3357. First we will calculate the prime factors of 3352 and 3357.

Prime Factorization of 3352


2 3352
2 1676
2 838
419 419
1

Prime factors of 3352 are 2,419. Prime factorization of 3352 in exponential form is:

3352 = 23×4191

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 3352 and 3357.

LCM(3352,3357) = 23×32×3731×4191
LCM(3352,3357) = 11252664

Factors of 3352

List of positive integer factors of 3352 that divides 3352 without a remainder.

1, 2, 4, 8, 419, 838, 1676, 3352

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 3352 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 3352 and 3357, than apply into the LCM equation.

GCF(3352,3357) = 1
LCM(3352,3357) = ( 3352 × 3357) / 1
LCM(3352,3357) = 11252664 / 1
LCM(3352,3357) = 11252664

Properties of LCM 3352 and 3357

(i) The LCM of 3357 and 3352 is associative

LCM of 3352 and 3357 = LCM of 3357 and 3352

Related Least Common Multiples of 3352

Related Least Common Multiples of 3357

Frequently Asked Questions on LCM of 3352 and 3357

1. What is the LCM of 3352 and 3357?

Answer: LCM of 3352 and 3357 is 11252664.

2. What are the Factors of 3352?

Answer: Factors of 3352 are 1, 2, 4, 8, 419, 838, 1676, 3352. There are 8 integers that are factors of 3352. The greatest factor of 3352 is 3352.

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 3352 and 3357?

Answer:

Least Common Multiple of 3352 and 3357 = 11252664

Step 1: Find the prime factorization of 3352

3352 = 2 x 2 x 2 x 419

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 = 11252664 = 2 x 2 x 2 x 3 x 3 x 373 x 419

Step 4: Therefore, the least common multiple of 3352 and 3357 is 11252664.