Least Common Multiple of 5448 and 5453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5448 and 5453 the smallest integer that is 29707944 that is divisible by both numbers.

Least Common Multiple (LCM) of 5448 and 5453 is 29707944.

LCM(5448,5453) = 29707944

LCM of 5448 and 5453

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

LCM of:
and

Least Common Multiple of 5448 and 5453

LCM of 5448 and 5453 is 29707944

Least common multiple can be found by multiplying the highest exponent prime factors of 5448 and 5453. First we will calculate the prime factors of 5448 and 5453.

Prime Factorization of 5448


2 5448
2 2724
2 1362
3 681
227 227
1

Prime factors of 5448 are 2, 3,227. Prime factorization of 5448 in exponential form is:

5448 = 23×31×2271

Prime Factorization of 5453


7 5453
19 779
41 41
1

Prime factors of 5453 are 7, 19,41. Prime factorization of 5453 in exponential form is:

5453 = 71×191×411

Now multiplying the highest exponent prime factors to calculate the LCM of 5448 and 5453.

LCM(5448,5453) = 23×31×71×191×411×2271
LCM(5448,5453) = 29707944

Factors of 5448

List of positive integer factors of 5448 that divides 5448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 227, 454, 681, 908, 1362, 1816, 2724, 5448

Factors of 5453

List of positive integer factors of 5453 that divides 5453 without a remainder.

1, 7, 19, 41, 133, 287, 779, 5453

Least Common Multiple of 5448 and 5453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5448 and 5453, than apply into the LCM equation.

GCF(5448,5453) = 1
LCM(5448,5453) = ( 5448 × 5453) / 1
LCM(5448,5453) = 29707944 / 1
LCM(5448,5453) = 29707944

Properties of LCM 5448 and 5453

(i) The LCM of 5453 and 5448 is associative

LCM of 5448 and 5453 = LCM of 5453 and 5448

Related Least Common Multiples of 5448

Related Least Common Multiples of 5453

Frequently Asked Questions on LCM of 5448 and 5453

1. What is the LCM of 5448 and 5453?

Answer: LCM of 5448 and 5453 is 29707944.

2. What are the Factors of 5448?

Answer: Factors of 5448 are 1, 2, 3, 4, 6, 8, 12, 24, 227, 454, 681, 908, 1362, 1816, 2724, 5448. There are 16 integers that are factors of 5448. The greatest factor of 5448 is 5448.

3. What are the Factors of 5453?

Answer: Factors of 5453 are 1, 7, 19, 41, 133, 287, 779, 5453. There are 8 integers that are factors of 5453. The greatest factor of 5453 is 5453.

4. How to Find the LCM of 5448 and 5453?

Answer:

Least Common Multiple of 5448 and 5453 = 29707944

Step 1: Find the prime factorization of 5448

5448 = 2 x 2 x 2 x 3 x 227

Step 2: Find the prime factorization of 5453

5453 = 7 x 19 x 41

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

LCM = 29707944 = 2 x 2 x 2 x 3 x 7 x 19 x 41 x 227

Step 4: Therefore, the least common multiple of 5448 and 5453 is 29707944.