Least Common Multiple of 5444 and 5449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5444 and 5449 the smallest integer that is 29664356 that is divisible by both numbers.

Least Common Multiple (LCM) of 5444 and 5449 is 29664356.

LCM(5444,5449) = 29664356

LCM of 5444 and 5449

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

LCM of:
and

Least Common Multiple of 5444 and 5449

LCM of 5444 and 5449 is 29664356

Least common multiple can be found by multiplying the highest exponent prime factors of 5444 and 5449. First we will calculate the prime factors of 5444 and 5449.

Prime Factorization of 5444


2 5444
2 2722
1361 1361
1

Prime factors of 5444 are 2,1361. Prime factorization of 5444 in exponential form is:

5444 = 22×13611

Prime Factorization of 5449


5449 5449
1

Prime factors of 5449 are 5449. Prime factorization of 5449 in exponential form is:

5449 = 54491

Now multiplying the highest exponent prime factors to calculate the LCM of 5444 and 5449.

LCM(5444,5449) = 22×13611×54491
LCM(5444,5449) = 29664356

Factors of 5444

List of positive integer factors of 5444 that divides 5444 without a remainder.

1, 2, 4, 1361, 2722, 5444

Factors of 5449

List of positive integer factors of 5449 that divides 5449 without a remainder.

1, 5449

Least Common Multiple of 5444 and 5449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5444 and 5449, than apply into the LCM equation.

GCF(5444,5449) = 1
LCM(5444,5449) = ( 5444 × 5449) / 1
LCM(5444,5449) = 29664356 / 1
LCM(5444,5449) = 29664356

Properties of LCM 5444 and 5449

(i) The LCM of 5449 and 5444 is associative

LCM of 5444 and 5449 = LCM of 5449 and 5444

Related Least Common Multiples of 5444

Related Least Common Multiples of 5449

Frequently Asked Questions on LCM of 5444 and 5449

1. What is the LCM of 5444 and 5449?

Answer: LCM of 5444 and 5449 is 29664356.

2. What are the Factors of 5444?

Answer: Factors of 5444 are 1, 2, 4, 1361, 2722, 5444. There are 6 integers that are factors of 5444. The greatest factor of 5444 is 5444.

3. What are the Factors of 5449?

Answer: Factors of 5449 are 1, 5449. There are 2 integers that are factors of 5449. The greatest factor of 5449 is 5449.

4. How to Find the LCM of 5444 and 5449?

Answer:

Least Common Multiple of 5444 and 5449 = 29664356

Step 1: Find the prime factorization of 5444

5444 = 2 x 2 x 1361

Step 2: Find the prime factorization of 5449

5449 = 5449

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

LCM = 29664356 = 2 x 2 x 1361 x 5449

Step 4: Therefore, the least common multiple of 5444 and 5449 is 29664356.