Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5471 and 5477 the smallest integer that is 29964667 that is divisible by both numbers.
Least Common Multiple (LCM) of 5471 and 5477 is 29964667.
LCM(5471,5477) = 29964667
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5471 and 5477. First we will calculate the prime factors of 5471 and 5477.
Prime Factorization of 5471
5471 | 5471 |
1 |
Prime factors of 5471 are 5471. Prime factorization of 5471 in exponential form is:
5471 = 54711
Prime Factorization of 5477
5477 | 5477 |
1 |
Prime factors of 5477 are 5477. Prime factorization of 5477 in exponential form is:
5477 = 54771
Now multiplying the highest exponent prime factors to calculate the LCM of 5471 and 5477.
LCM(5471,5477) = 54711×54771
LCM(5471,5477) = 29964667
Factors of 5471
List of positive integer factors of 5471 that divides 5471 without a remainder.
1, 5471
Factors of 5477
List of positive integer factors of 5477 that divides 5477 without a remainder.
1, 5477
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5471 and 5477, than apply into the LCM equation.
GCF(5471,5477) = 1
LCM(5471,5477) = ( 5471 × 5477) / 1
LCM(5471,5477) = 29964667 / 1
LCM(5471,5477) = 29964667
(i) The LCM of 5477 and 5471 is associative
LCM of 5471 and 5477 = LCM of 5477 and 5471
1. What is the LCM of 5471 and 5477?
Answer: LCM of 5471 and 5477 is 29964667.
2. What are the Factors of 5471?
Answer: Factors of 5471 are 1, 5471. There are 2 integers that are factors of 5471. The greatest factor of 5471 is 5471.
3. What are the Factors of 5477?
Answer: Factors of 5477 are 1, 5477. There are 2 integers that are factors of 5477. The greatest factor of 5477 is 5477.
4. How to Find the LCM of 5471 and 5477?
Answer:
Least Common Multiple of 5471 and 5477 = 29964667
Step 1: Find the prime factorization of 5471
5471 = 5471
Step 2: Find the prime factorization of 5477
5477 = 5477
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 29964667 = 5471 x 5477
Step 4: Therefore, the least common multiple of 5471 and 5477 is 29964667.