Least Common Multiple of 3338 and 3342

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 3342 the smallest integer that is 5577798 that is divisible by both numbers.

Least Common Multiple (LCM) of 3338 and 3342 is 5577798.

LCM(3338,3342) = 5577798

LCM of 3338 and 3342

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

LCM of:
and

Least Common Multiple of 3338 and 3342

LCM of 3338 and 3342 is 5577798

Least common multiple can be found by multiplying the highest exponent prime factors of 3338 and 3342. First we will calculate the prime factors of 3338 and 3342.

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 3342


2 3342
3 1671
557 557
1

Prime factors of 3342 are 2, 3,557. Prime factorization of 3342 in exponential form is:

3342 = 21×31×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 3338 and 3342.

LCM(3338,3342) = 21×31×5571×16691
LCM(3338,3342) = 5577798

Factors of 3338

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

1, 2, 1669, 3338

Factors of 3342

List of positive integer factors of 3342 that divides 3342 without a remainder.

1, 2, 3, 6, 557, 1114, 1671, 3342

Least Common Multiple of 3338 and 3342 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 3342, than apply into the LCM equation.

GCF(3338,3342) = 2
LCM(3338,3342) = ( 3338 × 3342) / 2
LCM(3338,3342) = 11155596 / 2
LCM(3338,3342) = 5577798

Properties of LCM 3338 and 3342

(i) The LCM of 3342 and 3338 is associative

LCM of 3338 and 3342 = LCM of 3342 and 3338

Related Least Common Multiples of 3338

Related Least Common Multiples of 3342

Frequently Asked Questions on LCM of 3338 and 3342

1. What is the LCM of 3338 and 3342?

Answer: LCM of 3338 and 3342 is 5577798.

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 3342?

Answer: Factors of 3342 are 1, 2, 3, 6, 557, 1114, 1671, 3342. There are 8 integers that are factors of 3342. The greatest factor of 3342 is 3342.

4. How to Find the LCM of 3338 and 3342?

Answer:

Least Common Multiple of 3338 and 3342 = 5577798

Step 1: Find the prime factorization of 3338

3338 = 2 x 1669

Step 2: Find the prime factorization of 3342

3342 = 2 x 3 x 557

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

LCM = 5577798 = 2 x 3 x 557 x 1669

Step 4: Therefore, the least common multiple of 3338 and 3342 is 5577798.