Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5473 and 5477 the smallest integer that is 29975621 that is divisible by both numbers.
Least Common Multiple (LCM) of 5473 and 5477 is 29975621.
LCM(5473,5477) = 29975621
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 5473 and 5477. First we will calculate the prime factors of 5473 and 5477.
Prime Factorization of 5473
13 | 5473 |
421 | 421 |
1 |
Prime factors of 5473 are 13,421. Prime factorization of 5473 in exponential form is:
5473 = 131×4211
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 5473 and 5477.
LCM(5473,5477) = 131×4211×54771
LCM(5473,5477) = 29975621
Factors of 5473
List of positive integer factors of 5473 that divides 5473 without a remainder.
1, 13, 421, 5473
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 5473 and 5477, than apply into the LCM equation.
GCF(5473,5477) = 1
LCM(5473,5477) = ( 5473 × 5477) / 1
LCM(5473,5477) = 29975621 / 1
LCM(5473,5477) = 29975621
(i) The LCM of 5477 and 5473 is associative
LCM of 5473 and 5477 = LCM of 5477 and 5473
1. What is the LCM of 5473 and 5477?
Answer: LCM of 5473 and 5477 is 29975621.
2. What are the Factors of 5473?
Answer: Factors of 5473 are 1, 13, 421, 5473. There are 4 integers that are factors of 5473. The greatest factor of 5473 is 5473.
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 5473 and 5477?
Answer:
Least Common Multiple of 5473 and 5477 = 29975621
Step 1: Find the prime factorization of 5473
5473 = 13 x 421
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 = 29975621 = 13 x 421 x 5477
Step 4: Therefore, the least common multiple of 5473 and 5477 is 29975621.