Least Common Multiple of 8449 and 8454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8449 and 8454 the smallest integer that is 71427846 that is divisible by both numbers.

Least Common Multiple (LCM) of 8449 and 8454 is 71427846.

LCM(8449,8454) = 71427846

LCM of 8449 and 8454

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

LCM of:
and

Least Common Multiple of 8449 and 8454

LCM of 8449 and 8454 is 71427846

Least common multiple can be found by multiplying the highest exponent prime factors of 8449 and 8454. First we will calculate the prime factors of 8449 and 8454.

Prime Factorization of 8449


7 8449
17 1207
71 71
1

Prime factors of 8449 are 7, 17,71. Prime factorization of 8449 in exponential form is:

8449 = 71×171×711

Prime Factorization of 8454


2 8454
3 4227
1409 1409
1

Prime factors of 8454 are 2, 3,1409. Prime factorization of 8454 in exponential form is:

8454 = 21×31×14091

Now multiplying the highest exponent prime factors to calculate the LCM of 8449 and 8454.

LCM(8449,8454) = 21×31×71×171×711×14091
LCM(8449,8454) = 71427846

Factors of 8449

List of positive integer factors of 8449 that divides 8449 without a remainder.

1, 7, 17, 71, 119, 497, 1207, 8449

Factors of 8454

List of positive integer factors of 8454 that divides 8454 without a remainder.

1, 2, 3, 6, 1409, 2818, 4227, 8454

Least Common Multiple of 8449 and 8454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8449 and 8454, than apply into the LCM equation.

GCF(8449,8454) = 1
LCM(8449,8454) = ( 8449 × 8454) / 1
LCM(8449,8454) = 71427846 / 1
LCM(8449,8454) = 71427846

Properties of LCM 8449 and 8454

(i) The LCM of 8454 and 8449 is associative

LCM of 8449 and 8454 = LCM of 8454 and 8449

Related Least Common Multiples of 8449

Related Least Common Multiples of 8454

Frequently Asked Questions on LCM of 8449 and 8454

1. What is the LCM of 8449 and 8454?

Answer: LCM of 8449 and 8454 is 71427846.

2. What are the Factors of 8449?

Answer: Factors of 8449 are 1, 7, 17, 71, 119, 497, 1207, 8449. There are 8 integers that are factors of 8449. The greatest factor of 8449 is 8449.

3. What are the Factors of 8454?

Answer: Factors of 8454 are 1, 2, 3, 6, 1409, 2818, 4227, 8454. There are 8 integers that are factors of 8454. The greatest factor of 8454 is 8454.

4. How to Find the LCM of 8449 and 8454?

Answer:

Least Common Multiple of 8449 and 8454 = 71427846

Step 1: Find the prime factorization of 8449

8449 = 7 x 17 x 71

Step 2: Find the prime factorization of 8454

8454 = 2 x 3 x 1409

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

LCM = 71427846 = 2 x 3 x 7 x 17 x 71 x 1409

Step 4: Therefore, the least common multiple of 8449 and 8454 is 71427846.