Least Common Multiple of 3449 and 3454

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 3454 the smallest integer that is 11912846 that is divisible by both numbers.

Least Common Multiple (LCM) of 3449 and 3454 is 11912846.

LCM(3449,3454) = 11912846

LCM of 3449 and 3454

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

LCM of:
and

Least Common Multiple of 3449 and 3454

LCM of 3449 and 3454 is 11912846

Least common multiple can be found by multiplying the highest exponent prime factors of 3449 and 3454. First we will calculate the prime factors of 3449 and 3454.

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 3454


2 3454
11 1727
157 157
1

Prime factors of 3454 are 2, 11,157. Prime factorization of 3454 in exponential form is:

3454 = 21×111×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 3449 and 3454.

LCM(3449,3454) = 21×111×1571×34491
LCM(3449,3454) = 11912846

Factors of 3449

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

1, 3449

Factors of 3454

List of positive integer factors of 3454 that divides 3454 without a remainder.

1, 2, 11, 22, 157, 314, 1727, 3454

Least Common Multiple of 3449 and 3454 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 3454, than apply into the LCM equation.

GCF(3449,3454) = 1
LCM(3449,3454) = ( 3449 × 3454) / 1
LCM(3449,3454) = 11912846 / 1
LCM(3449,3454) = 11912846

Properties of LCM 3449 and 3454

(i) The LCM of 3454 and 3449 is associative

LCM of 3449 and 3454 = LCM of 3454 and 3449

Related Least Common Multiples of 3449

Related Least Common Multiples of 3454

Frequently Asked Questions on LCM of 3449 and 3454

1. What is the LCM of 3449 and 3454?

Answer: LCM of 3449 and 3454 is 11912846.

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 3454?

Answer: Factors of 3454 are 1, 2, 11, 22, 157, 314, 1727, 3454. There are 8 integers that are factors of 3454. The greatest factor of 3454 is 3454.

4. How to Find the LCM of 3449 and 3454?

Answer:

Least Common Multiple of 3449 and 3454 = 11912846

Step 1: Find the prime factorization of 3449

3449 = 3449

Step 2: Find the prime factorization of 3454

3454 = 2 x 11 x 157

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

LCM = 11912846 = 2 x 11 x 157 x 3449

Step 4: Therefore, the least common multiple of 3449 and 3454 is 11912846.