Least Common Multiple of 5447 and 5455

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5447 and 5455 the smallest integer that is 29713385 that is divisible by both numbers.

Least Common Multiple (LCM) of 5447 and 5455 is 29713385.

LCM(5447,5455) = 29713385

LCM of 5447 and 5455

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

LCM of:
and

Least Common Multiple of 5447 and 5455

LCM of 5447 and 5455 is 29713385

Least common multiple can be found by multiplying the highest exponent prime factors of 5447 and 5455. First we will calculate the prime factors of 5447 and 5455.

Prime Factorization of 5447


13 5447
419 419
1

Prime factors of 5447 are 13,419. Prime factorization of 5447 in exponential form is:

5447 = 131×4191

Prime Factorization of 5455


5 5455
1091 1091
1

Prime factors of 5455 are 5,1091. Prime factorization of 5455 in exponential form is:

5455 = 51×10911

Now multiplying the highest exponent prime factors to calculate the LCM of 5447 and 5455.

LCM(5447,5455) = 51×131×4191×10911
LCM(5447,5455) = 29713385

Factors of 5447

List of positive integer factors of 5447 that divides 5447 without a remainder.

1, 13, 419, 5447

Factors of 5455

List of positive integer factors of 5455 that divides 5455 without a remainder.

1, 5, 1091, 5455

Least Common Multiple of 5447 and 5455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5447 and 5455, than apply into the LCM equation.

GCF(5447,5455) = 1
LCM(5447,5455) = ( 5447 × 5455) / 1
LCM(5447,5455) = 29713385 / 1
LCM(5447,5455) = 29713385

Properties of LCM 5447 and 5455

(i) The LCM of 5455 and 5447 is associative

LCM of 5447 and 5455 = LCM of 5455 and 5447

Related Least Common Multiples of 5447

Related Least Common Multiples of 5455

Frequently Asked Questions on LCM of 5447 and 5455

1. What is the LCM of 5447 and 5455?

Answer: LCM of 5447 and 5455 is 29713385.

2. What are the Factors of 5447?

Answer: Factors of 5447 are 1, 13, 419, 5447. There are 4 integers that are factors of 5447. The greatest factor of 5447 is 5447.

3. What are the Factors of 5455?

Answer: Factors of 5455 are 1, 5, 1091, 5455. There are 4 integers that are factors of 5455. The greatest factor of 5455 is 5455.

4. How to Find the LCM of 5447 and 5455?

Answer:

Least Common Multiple of 5447 and 5455 = 29713385

Step 1: Find the prime factorization of 5447

5447 = 13 x 419

Step 2: Find the prime factorization of 5455

5455 = 5 x 1091

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

LCM = 29713385 = 5 x 13 x 419 x 1091

Step 4: Therefore, the least common multiple of 5447 and 5455 is 29713385.