Least Common Multiple of 3352 and 3358

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 3358 the smallest integer that is 5628008 that is divisible by both numbers.

Least Common Multiple (LCM) of 3352 and 3358 is 5628008.

LCM(3352,3358) = 5628008

LCM of 3352 and 3358

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

LCM of:
and

Least Common Multiple of 3352 and 3358

LCM of 3352 and 3358 is 5628008

Least common multiple can be found by multiplying the highest exponent prime factors of 3352 and 3358. First we will calculate the prime factors of 3352 and 3358.

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 3358


2 3358
23 1679
73 73
1

Prime factors of 3358 are 2, 23,73. Prime factorization of 3358 in exponential form is:

3358 = 21×231×731

Now multiplying the highest exponent prime factors to calculate the LCM of 3352 and 3358.

LCM(3352,3358) = 23×231×731×4191
LCM(3352,3358) = 5628008

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 3358

List of positive integer factors of 3358 that divides 3358 without a remainder.

1, 2, 23, 46, 73, 146, 1679, 3358

Least Common Multiple of 3352 and 3358 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 3358, than apply into the LCM equation.

GCF(3352,3358) = 2
LCM(3352,3358) = ( 3352 × 3358) / 2
LCM(3352,3358) = 11256016 / 2
LCM(3352,3358) = 5628008

Properties of LCM 3352 and 3358

(i) The LCM of 3358 and 3352 is associative

LCM of 3352 and 3358 = LCM of 3358 and 3352

Related Least Common Multiples of 3352

Related Least Common Multiples of 3358

Frequently Asked Questions on LCM of 3352 and 3358

1. What is the LCM of 3352 and 3358?

Answer: LCM of 3352 and 3358 is 5628008.

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 3358?

Answer: Factors of 3358 are 1, 2, 23, 46, 73, 146, 1679, 3358. There are 8 integers that are factors of 3358. The greatest factor of 3358 is 3358.

4. How to Find the LCM of 3352 and 3358?

Answer:

Least Common Multiple of 3352 and 3358 = 5628008

Step 1: Find the prime factorization of 3352

3352 = 2 x 2 x 2 x 419

Step 2: Find the prime factorization of 3358

3358 = 2 x 23 x 73

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

LCM = 5628008 = 2 x 2 x 2 x 23 x 73 x 419

Step 4: Therefore, the least common multiple of 3352 and 3358 is 5628008.