Least Common Multiple of 3449 and 3455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3449 and 3455 the smallest integer that is 11916295 that is divisible by both numbers.

Least Common Multiple (LCM) of 3449 and 3455 is 11916295.

LCM(3449,3455) = 11916295

LCM of 3449 and 3455

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

LCM of:
and

Least Common Multiple of 3449 and 3455

LCM of 3449 and 3455 is 11916295

Least common multiple can be found by multiplying the highest exponent prime factors of 3449 and 3455. First we will calculate the prime factors of 3449 and 3455.

Prime Factorization of 3449


3449 3449
1

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

3449 = 34491

Prime Factorization of 3455


5 3455
691 691
1

Prime factors of 3455 are 5,691. Prime factorization of 3455 in exponential form is:

3455 = 51×6911

Now multiplying the highest exponent prime factors to calculate the LCM of 3449 and 3455.

LCM(3449,3455) = 51×6911×34491
LCM(3449,3455) = 11916295

Factors of 3449

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

1, 3449

Factors of 3455

List of positive integer factors of 3455 that divides 3455 without a remainder.

1, 5, 691, 3455

Least Common Multiple of 3449 and 3455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3449 and 3455, than apply into the LCM equation.

GCF(3449,3455) = 1
LCM(3449,3455) = ( 3449 × 3455) / 1
LCM(3449,3455) = 11916295 / 1
LCM(3449,3455) = 11916295

Properties of LCM 3449 and 3455

(i) The LCM of 3455 and 3449 is associative

LCM of 3449 and 3455 = LCM of 3455 and 3449

Related Least Common Multiples of 3449

Related Least Common Multiples of 3455

Frequently Asked Questions on LCM of 3449 and 3455

1. What is the LCM of 3449 and 3455?

Answer: LCM of 3449 and 3455 is 11916295.

2. 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.

3. What are the Factors of 3455?

Answer: Factors of 3455 are 1, 5, 691, 3455. There are 4 integers that are factors of 3455. The greatest factor of 3455 is 3455.

4. How to Find the LCM of 3449 and 3455?

Answer:

Least Common Multiple of 3449 and 3455 = 11916295

Step 1: Find the prime factorization of 3449

3449 = 3449

Step 2: Find the prime factorization of 3455

3455 = 5 x 691

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

LCM = 11916295 = 5 x 691 x 3449

Step 4: Therefore, the least common multiple of 3449 and 3455 is 11916295.