Least Common Multiple of 3332 and 3338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3332 and 3338 the smallest integer that is 5561108 that is divisible by both numbers.

Least Common Multiple (LCM) of 3332 and 3338 is 5561108.

LCM(3332,3338) = 5561108

LCM of 3332 and 3338

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

LCM of:
and

Least Common Multiple of 3332 and 3338

LCM of 3332 and 3338 is 5561108

Least common multiple can be found by multiplying the highest exponent prime factors of 3332 and 3338. First we will calculate the prime factors of 3332 and 3338.

Prime Factorization of 3332


2 3332
2 1666
7 833
7 119
17 17
1

Prime factors of 3332 are 2, 7,17. Prime factorization of 3332 in exponential form is:

3332 = 22×72×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3332 and 3338.

LCM(3332,3338) = 22×72×171×16691
LCM(3332,3338) = 5561108

Factors of 3332

List of positive integer factors of 3332 that divides 3332 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666, 3332

Factors of 3338

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

1, 2, 1669, 3338

Least Common Multiple of 3332 and 3338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3332 and 3338, than apply into the LCM equation.

GCF(3332,3338) = 2
LCM(3332,3338) = ( 3332 × 3338) / 2
LCM(3332,3338) = 11122216 / 2
LCM(3332,3338) = 5561108

Properties of LCM 3332 and 3338

(i) The LCM of 3338 and 3332 is associative

LCM of 3332 and 3338 = LCM of 3338 and 3332

Related Least Common Multiples of 3332

Related Least Common Multiples of 3338

Frequently Asked Questions on LCM of 3332 and 3338

1. What is the LCM of 3332 and 3338?

Answer: LCM of 3332 and 3338 is 5561108.

2. What are the Factors of 3332?

Answer: Factors of 3332 are 1, 2, 4, 7, 14, 17, 28, 34, 49, 68, 98, 119, 196, 238, 476, 833, 1666, 3332. There are 18 integers that are factors of 3332. The greatest factor of 3332 is 3332.

3. 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.

4. How to Find the LCM of 3332 and 3338?

Answer:

Least Common Multiple of 3332 and 3338 = 5561108

Step 1: Find the prime factorization of 3332

3332 = 2 x 2 x 7 x 7 x 17

Step 2: Find the prime factorization of 3338

3338 = 2 x 1669

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

LCM = 5561108 = 2 x 2 x 7 x 7 x 17 x 1669

Step 4: Therefore, the least common multiple of 3332 and 3338 is 5561108.