Least Common Multiple of 3358 and 3361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3358 and 3361 the smallest integer that is 11286238 that is divisible by both numbers.

Least Common Multiple (LCM) of 3358 and 3361 is 11286238.

LCM(3358,3361) = 11286238

LCM of 3358 and 3361

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

LCM of:
and

Least Common Multiple of 3358 and 3361

LCM of 3358 and 3361 is 11286238

Least common multiple can be found by multiplying the highest exponent prime factors of 3358 and 3361. First we will calculate the prime factors of 3358 and 3361.

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

Prime Factorization of 3361


3361 3361
1

Prime factors of 3361 are 3361. Prime factorization of 3361 in exponential form is:

3361 = 33611

Now multiplying the highest exponent prime factors to calculate the LCM of 3358 and 3361.

LCM(3358,3361) = 21×231×731×33611
LCM(3358,3361) = 11286238

Factors of 3358

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

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

Factors of 3361

List of positive integer factors of 3361 that divides 3361 without a remainder.

1, 3361

Least Common Multiple of 3358 and 3361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3358 and 3361, than apply into the LCM equation.

GCF(3358,3361) = 1
LCM(3358,3361) = ( 3358 × 3361) / 1
LCM(3358,3361) = 11286238 / 1
LCM(3358,3361) = 11286238

Properties of LCM 3358 and 3361

(i) The LCM of 3361 and 3358 is associative

LCM of 3358 and 3361 = LCM of 3361 and 3358

Related Least Common Multiples of 3358

Related Least Common Multiples of 3361

Frequently Asked Questions on LCM of 3358 and 3361

1. What is the LCM of 3358 and 3361?

Answer: LCM of 3358 and 3361 is 11286238.

2. 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.

3. What are the Factors of 3361?

Answer: Factors of 3361 are 1, 3361. There are 2 integers that are factors of 3361. The greatest factor of 3361 is 3361.

4. How to Find the LCM of 3358 and 3361?

Answer:

Least Common Multiple of 3358 and 3361 = 11286238

Step 1: Find the prime factorization of 3358

3358 = 2 x 23 x 73

Step 2: Find the prime factorization of 3361

3361 = 3361

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

LCM = 11286238 = 2 x 23 x 73 x 3361

Step 4: Therefore, the least common multiple of 3358 and 3361 is 11286238.