Least Common Multiple of 7473 and 7477
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7473 and 7477 the smallest integer that is 55875621 that is divisible by both numbers.
Least Common Multiple (LCM) of 7473 and 7477 is 55875621.
LCM(7473,7477) = 55875621
LCM of 7473 and 7477
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7473 and 7477 by Prime method
- Least Common Multiple of 7473 and 7477 with GCF Formula
LCM of 7473 and 7477 is 55875621
Least common multiple can be found by multiplying the highest exponent prime factors of 7473 and 7477. First we will calculate the prime factors of 7473 and 7477.
Prime Factorization of 7473
| 3 | 7473 |
| 47 | 2491 |
| 53 | 53 |
| 1 |
Prime factors of 7473 are 3, 47,53. Prime factorization of 7473 in exponential form is:
7473 = 31×471×531
Prime Factorization of 7477
| 7477 | 7477 |
| 1 |
Prime factors of 7477 are 7477. Prime factorization of 7477 in exponential form is:
7477 = 74771
Now multiplying the highest exponent prime factors to calculate the LCM of 7473 and 7477.
LCM(7473,7477) = 31×471×531×74771
LCM(7473,7477) = 55875621
Factors of 7473
List of positive integer factors of 7473 that divides 7473 without a remainder.
1, 3, 47, 53, 141, 159, 2491, 7473
Factors of 7477
List of positive integer factors of 7477 that divides 7477 without a remainder.
1, 7477
Least Common Multiple of 7473 and 7477 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7473 and 7477, than apply into the LCM equation.
GCF(7473,7477) = 1
LCM(7473,7477) = ( 7473 × 7477) / 1
LCM(7473,7477) = 55875621 / 1
LCM(7473,7477) = 55875621
Properties of LCM 7473 and 7477
(i) The LCM of 7477 and 7473 is associative
LCM of 7473 and 7477 = LCM of 7477 and 7473
Related Least Common Multiples of 7473
Related Least Common Multiples of 7477
Frequently Asked Questions on LCM of 7473 and 7477
1. What is the LCM of 7473 and 7477?
Answer: LCM of 7473 and 7477 is 55875621.
2. What are the Factors of 7473?
Answer: Factors of 7473 are 1, 3, 47, 53, 141, 159, 2491, 7473. There are 8 integers that are factors of 7473. The greatest factor of 7473 is 7473.
3. What are the Factors of 7477?
Answer: Factors of 7477 are 1, 7477. There are 2 integers that are factors of 7477. The greatest factor of 7477 is 7477.
4. How to Find the LCM of 7473 and 7477?
Answer:
Least Common Multiple of 7473 and 7477 = 55875621
Step 1: Find the prime factorization of 7473
7473 = 3 x 47 x 53
Step 2: Find the prime factorization of 7477
7477 = 7477
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 55875621 = 3 x 47 x 53 x 7477
Step 4: Therefore, the least common multiple of 7473 and 7477 is 55875621.