Least Common Multiple of 3338 and 3346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3338 and 3346 the smallest integer that is 5584474 that is divisible by both numbers.

Least Common Multiple (LCM) of 3338 and 3346 is 5584474.

LCM(3338,3346) = 5584474

LCM of 3338 and 3346

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

LCM of:
and

Least Common Multiple of 3338 and 3346

LCM of 3338 and 3346 is 5584474

Least common multiple can be found by multiplying the highest exponent prime factors of 3338 and 3346. First we will calculate the prime factors of 3338 and 3346.

Prime Factorization of 3338


2 3338
1669 1669
1

Prime factors of 3338 are 2,1669. Prime factorization of 3338 in exponential form is:

3338 = 21×16691

Prime Factorization of 3346


2 3346
7 1673
239 239
1

Prime factors of 3346 are 2, 7,239. Prime factorization of 3346 in exponential form is:

3346 = 21×71×2391

Now multiplying the highest exponent prime factors to calculate the LCM of 3338 and 3346.

LCM(3338,3346) = 21×71×2391×16691
LCM(3338,3346) = 5584474

Factors of 3338

List of positive integer factors of 3338 that divides 3338 without a remainder.

1, 2, 1669, 3338

Factors of 3346

List of positive integer factors of 3346 that divides 3346 without a remainder.

1, 2, 7, 14, 239, 478, 1673, 3346

Least Common Multiple of 3338 and 3346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3338 and 3346, than apply into the LCM equation.

GCF(3338,3346) = 2
LCM(3338,3346) = ( 3338 × 3346) / 2
LCM(3338,3346) = 11168948 / 2
LCM(3338,3346) = 5584474

Properties of LCM 3338 and 3346

(i) The LCM of 3346 and 3338 is associative

LCM of 3338 and 3346 = LCM of 3346 and 3338

Related Least Common Multiples of 3338

Related Least Common Multiples of 3346

Frequently Asked Questions on LCM of 3338 and 3346

1. What is the LCM of 3338 and 3346?

Answer: LCM of 3338 and 3346 is 5584474.

2. What are the Factors of 3338?

Answer: Factors of 3338 are 1, 2, 1669, 3338. There are 4 integers that are factors of 3338. The greatest factor of 3338 is 3338.

3. What are the Factors of 3346?

Answer: Factors of 3346 are 1, 2, 7, 14, 239, 478, 1673, 3346. There are 8 integers that are factors of 3346. The greatest factor of 3346 is 3346.

4. How to Find the LCM of 3338 and 3346?

Answer:

Least Common Multiple of 3338 and 3346 = 5584474

Step 1: Find the prime factorization of 3338

3338 = 2 x 1669

Step 2: Find the prime factorization of 3346

3346 = 2 x 7 x 239

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

LCM = 5584474 = 2 x 7 x 239 x 1669

Step 4: Therefore, the least common multiple of 3338 and 3346 is 5584474.