Least Common Multiple of 7566 and 7573
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 7566 and 7573 the smallest integer that is 57297318 that is divisible by both numbers.
Least Common Multiple (LCM) of 7566 and 7573 is 57297318.
LCM(7566,7573) = 57297318
LCM of 7566 and 7573
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 7566 and 7573 by Prime method
- Least Common Multiple of 7566 and 7573 with GCF Formula
LCM of 7566 and 7573 is 57297318
Least common multiple can be found by multiplying the highest exponent prime factors of 7566 and 7573. First we will calculate the prime factors of 7566 and 7573.
Prime Factorization of 7566
| 2 | 7566 |
| 3 | 3783 |
| 13 | 1261 |
| 97 | 97 |
| 1 |
Prime factors of 7566 are 2, 3, 13,97. Prime factorization of 7566 in exponential form is:
7566 = 21×31×131×971
Prime Factorization of 7573
| 7573 | 7573 |
| 1 |
Prime factors of 7573 are 7573. Prime factorization of 7573 in exponential form is:
7573 = 75731
Now multiplying the highest exponent prime factors to calculate the LCM of 7566 and 7573.
LCM(7566,7573) = 21×31×131×971×75731
LCM(7566,7573) = 57297318
Factors of 7566
List of positive integer factors of 7566 that divides 7566 without a remainder.
1, 2, 3, 6, 13, 26, 39, 78, 97, 194, 291, 582, 1261, 2522, 3783, 7566
Factors of 7573
List of positive integer factors of 7573 that divides 7573 without a remainder.
1, 7573
Least Common Multiple of 7566 and 7573 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7566 and 7573, than apply into the LCM equation.
GCF(7566,7573) = 1
LCM(7566,7573) = ( 7566 × 7573) / 1
LCM(7566,7573) = 57297318 / 1
LCM(7566,7573) = 57297318
Properties of LCM 7566 and 7573
(i) The LCM of 7573 and 7566 is associative
LCM of 7566 and 7573 = LCM of 7573 and 7566
Related Least Common Multiples of 7566
Related Least Common Multiples of 7573
Frequently Asked Questions on LCM of 7566 and 7573
1. What is the LCM of 7566 and 7573?
Answer: LCM of 7566 and 7573 is 57297318.
2. What are the Factors of 7566?
Answer: Factors of 7566 are 1, 2, 3, 6, 13, 26, 39, 78, 97, 194, 291, 582, 1261, 2522, 3783, 7566. There are 16 integers that are factors of 7566. The greatest factor of 7566 is 7566.
3. What are the Factors of 7573?
Answer: Factors of 7573 are 1, 7573. There are 2 integers that are factors of 7573. The greatest factor of 7573 is 7573.
4. How to Find the LCM of 7566 and 7573?
Answer:
Least Common Multiple of 7566 and 7573 = 57297318
Step 1: Find the prime factorization of 7566
7566 = 2 x 3 x 13 x 97
Step 2: Find the prime factorization of 7573
7573 = 7573
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 57297318 = 2 x 3 x 13 x 97 x 7573
Step 4: Therefore, the least common multiple of 7566 and 7573 is 57297318.