Least Common Multiple of 5441 and 5445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5441 and 5445 the smallest integer that is 29626245 that is divisible by both numbers.

Least Common Multiple (LCM) of 5441 and 5445 is 29626245.

LCM(5441,5445) = 29626245

LCM of 5441 and 5445

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

LCM of:
and

Least Common Multiple of 5441 and 5445

LCM of 5441 and 5445 is 29626245

Least common multiple can be found by multiplying the highest exponent prime factors of 5441 and 5445. First we will calculate the prime factors of 5441 and 5445.

Prime Factorization of 5441


5441 5441
1

Prime factors of 5441 are 5441. Prime factorization of 5441 in exponential form is:

5441 = 54411

Prime Factorization of 5445


3 5445
3 1815
5 605
11 121
11 11
1

Prime factors of 5445 are 3, 5,11. Prime factorization of 5445 in exponential form is:

5445 = 32×51×112

Now multiplying the highest exponent prime factors to calculate the LCM of 5441 and 5445.

LCM(5441,5445) = 32×51×112×54411
LCM(5441,5445) = 29626245

Factors of 5441

List of positive integer factors of 5441 that divides 5441 without a remainder.

1, 5441

Factors of 5445

List of positive integer factors of 5445 that divides 5445 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445

Least Common Multiple of 5441 and 5445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5441 and 5445, than apply into the LCM equation.

GCF(5441,5445) = 1
LCM(5441,5445) = ( 5441 × 5445) / 1
LCM(5441,5445) = 29626245 / 1
LCM(5441,5445) = 29626245

Properties of LCM 5441 and 5445

(i) The LCM of 5445 and 5441 is associative

LCM of 5441 and 5445 = LCM of 5445 and 5441

Related Least Common Multiples of 5441

Related Least Common Multiples of 5445

Frequently Asked Questions on LCM of 5441 and 5445

1. What is the LCM of 5441 and 5445?

Answer: LCM of 5441 and 5445 is 29626245.

2. What are the Factors of 5441?

Answer: Factors of 5441 are 1, 5441. There are 2 integers that are factors of 5441. The greatest factor of 5441 is 5441.

3. What are the Factors of 5445?

Answer: Factors of 5445 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445. There are 18 integers that are factors of 5445. The greatest factor of 5445 is 5445.

4. How to Find the LCM of 5441 and 5445?

Answer:

Least Common Multiple of 5441 and 5445 = 29626245

Step 1: Find the prime factorization of 5441

5441 = 5441

Step 2: Find the prime factorization of 5445

5445 = 3 x 3 x 5 x 11 x 11

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

LCM = 29626245 = 3 x 3 x 5 x 11 x 11 x 5441

Step 4: Therefore, the least common multiple of 5441 and 5445 is 29626245.