Least Common Multiple of 5447 and 5454

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 5454 the smallest integer that is 29707938 that is divisible by both numbers.

Least Common Multiple (LCM) of 5447 and 5454 is 29707938.

LCM(5447,5454) = 29707938

LCM of 5447 and 5454

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

LCM of:
and

Least Common Multiple of 5447 and 5454

LCM of 5447 and 5454 is 29707938

Least common multiple can be found by multiplying the highest exponent prime factors of 5447 and 5454. First we will calculate the prime factors of 5447 and 5454.

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 5454


2 5454
3 2727
3 909
3 303
101 101
1

Prime factors of 5454 are 2, 3,101. Prime factorization of 5454 in exponential form is:

5454 = 21×33×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 5447 and 5454.

LCM(5447,5454) = 21×33×131×1011×4191
LCM(5447,5454) = 29707938

Factors of 5447

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

1, 13, 419, 5447

Factors of 5454

List of positive integer factors of 5454 that divides 5454 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 101, 202, 303, 606, 909, 1818, 2727, 5454

Least Common Multiple of 5447 and 5454 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 5454, than apply into the LCM equation.

GCF(5447,5454) = 1
LCM(5447,5454) = ( 5447 × 5454) / 1
LCM(5447,5454) = 29707938 / 1
LCM(5447,5454) = 29707938

Properties of LCM 5447 and 5454

(i) The LCM of 5454 and 5447 is associative

LCM of 5447 and 5454 = LCM of 5454 and 5447

Related Least Common Multiples of 5447

Related Least Common Multiples of 5454

Frequently Asked Questions on LCM of 5447 and 5454

1. What is the LCM of 5447 and 5454?

Answer: LCM of 5447 and 5454 is 29707938.

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 5454?

Answer: Factors of 5454 are 1, 2, 3, 6, 9, 18, 27, 54, 101, 202, 303, 606, 909, 1818, 2727, 5454. There are 16 integers that are factors of 5454. The greatest factor of 5454 is 5454.

4. How to Find the LCM of 5447 and 5454?

Answer:

Least Common Multiple of 5447 and 5454 = 29707938

Step 1: Find the prime factorization of 5447

5447 = 13 x 419

Step 2: Find the prime factorization of 5454

5454 = 2 x 3 x 3 x 3 x 101

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

LCM = 29707938 = 2 x 3 x 3 x 3 x 13 x 101 x 419

Step 4: Therefore, the least common multiple of 5447 and 5454 is 29707938.