Least Common Multiple of 3442 and 3449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3442 and 3449 the smallest integer that is 11871458 that is divisible by both numbers.

Least Common Multiple (LCM) of 3442 and 3449 is 11871458.

LCM(3442,3449) = 11871458

LCM of 3442 and 3449

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

LCM of:
and

Least Common Multiple of 3442 and 3449

LCM of 3442 and 3449 is 11871458

Least common multiple can be found by multiplying the highest exponent prime factors of 3442 and 3449. First we will calculate the prime factors of 3442 and 3449.

Prime Factorization of 3442


2 3442
1721 1721
1

Prime factors of 3442 are 2,1721. Prime factorization of 3442 in exponential form is:

3442 = 21×17211

Prime Factorization of 3449


3449 3449
1

Prime factors of 3449 are 3449. Prime factorization of 3449 in exponential form is:

3449 = 34491

Now multiplying the highest exponent prime factors to calculate the LCM of 3442 and 3449.

LCM(3442,3449) = 21×17211×34491
LCM(3442,3449) = 11871458

Factors of 3442

List of positive integer factors of 3442 that divides 3442 without a remainder.

1, 2, 1721, 3442

Factors of 3449

List of positive integer factors of 3449 that divides 3449 without a remainder.

1, 3449

Least Common Multiple of 3442 and 3449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3442 and 3449, than apply into the LCM equation.

GCF(3442,3449) = 1
LCM(3442,3449) = ( 3442 × 3449) / 1
LCM(3442,3449) = 11871458 / 1
LCM(3442,3449) = 11871458

Properties of LCM 3442 and 3449

(i) The LCM of 3449 and 3442 is associative

LCM of 3442 and 3449 = LCM of 3449 and 3442

Related Least Common Multiples of 3442

Related Least Common Multiples of 3449

Frequently Asked Questions on LCM of 3442 and 3449

1. What is the LCM of 3442 and 3449?

Answer: LCM of 3442 and 3449 is 11871458.

2. What are the Factors of 3442?

Answer: Factors of 3442 are 1, 2, 1721, 3442. There are 4 integers that are factors of 3442. The greatest factor of 3442 is 3442.

3. What are the Factors of 3449?

Answer: Factors of 3449 are 1, 3449. There are 2 integers that are factors of 3449. The greatest factor of 3449 is 3449.

4. How to Find the LCM of 3442 and 3449?

Answer:

Least Common Multiple of 3442 and 3449 = 11871458

Step 1: Find the prime factorization of 3442

3442 = 2 x 1721

Step 2: Find the prime factorization of 3449

3449 = 3449

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

LCM = 11871458 = 2 x 1721 x 3449

Step 4: Therefore, the least common multiple of 3442 and 3449 is 11871458.