Least Common Multiple of 7473 and 7481
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 7481 the smallest integer that is 55905513 that is divisible by both numbers.
Least Common Multiple (LCM) of 7473 and 7481 is 55905513.
LCM(7473,7481) = 55905513
LCM of 7473 and 7481
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7473 and 7481 by Prime method
- Least Common Multiple of 7473 and 7481 with GCF Formula
LCM of 7473 and 7481 is 55905513
Least common multiple can be found by multiplying the highest exponent prime factors of 7473 and 7481. First we will calculate the prime factors of 7473 and 7481.
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 7481
| 7481 | 7481 |
| 1 |
Prime factors of 7481 are 7481. Prime factorization of 7481 in exponential form is:
7481 = 74811
Now multiplying the highest exponent prime factors to calculate the LCM of 7473 and 7481.
LCM(7473,7481) = 31×471×531×74811
LCM(7473,7481) = 55905513
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 7481
List of positive integer factors of 7481 that divides 7481 without a remainder.
1, 7481
Least Common Multiple of 7473 and 7481 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 7481, than apply into the LCM equation.
GCF(7473,7481) = 1
LCM(7473,7481) = ( 7473 × 7481) / 1
LCM(7473,7481) = 55905513 / 1
LCM(7473,7481) = 55905513
Properties of LCM 7473 and 7481
(i) The LCM of 7481 and 7473 is associative
LCM of 7473 and 7481 = LCM of 7481 and 7473
Related Least Common Multiples of 7473
Related Least Common Multiples of 7481
Frequently Asked Questions on LCM of 7473 and 7481
1. What is the LCM of 7473 and 7481?
Answer: LCM of 7473 and 7481 is 55905513.
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 7481?
Answer: Factors of 7481 are 1, 7481. There are 2 integers that are factors of 7481. The greatest factor of 7481 is 7481.
4. How to Find the LCM of 7473 and 7481?
Answer:
Least Common Multiple of 7473 and 7481 = 55905513
Step 1: Find the prime factorization of 7473
7473 = 3 x 47 x 53
Step 2: Find the prime factorization of 7481
7481 = 7481
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 55905513 = 3 x 47 x 53 x 7481
Step 4: Therefore, the least common multiple of 7473 and 7481 is 55905513.