Least Common Multiple of 8050 and 8057
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8050 and 8057 the smallest integer that is 9265550 that is divisible by both numbers.
Least Common Multiple (LCM) of 8050 and 8057 is 9265550.
LCM(8050,8057) = 9265550
LCM of 8050 and 8057
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8050 and 8057 by Prime method
- Least Common Multiple of 8050 and 8057 with GCF Formula
LCM of 8050 and 8057 is 9265550
Least common multiple can be found by multiplying the highest exponent prime factors of 8050 and 8057. First we will calculate the prime factors of 8050 and 8057.
Prime Factorization of 8050
| 2 | 8050 |
| 5 | 4025 |
| 5 | 805 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 8050 are 2, 5, 7,23. Prime factorization of 8050 in exponential form is:
8050 = 21×52×71×231
Prime Factorization of 8057
| 7 | 8057 |
| 1151 | 1151 |
| 1 |
Prime factors of 8057 are 7,1151. Prime factorization of 8057 in exponential form is:
8057 = 71×11511
Now multiplying the highest exponent prime factors to calculate the LCM of 8050 and 8057.
LCM(8050,8057) = 21×52×71×231×11511
LCM(8050,8057) = 9265550
Factors of 8050
List of positive integer factors of 8050 that divides 8050 without a remainder.
1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 50, 70, 115, 161, 175, 230, 322, 350, 575, 805, 1150, 1610, 4025, 8050
Factors of 8057
List of positive integer factors of 8057 that divides 8057 without a remainder.
1, 7, 1151, 8057
Least Common Multiple of 8050 and 8057 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8050 and 8057, than apply into the LCM equation.
GCF(8050,8057) = 7
LCM(8050,8057) = ( 8050 × 8057) / 7
LCM(8050,8057) = 64858850 / 7
LCM(8050,8057) = 9265550
Properties of LCM 8050 and 8057
(i) The LCM of 8057 and 8050 is associative
LCM of 8050 and 8057 = LCM of 8057 and 8050
Related Least Common Multiples of 8050
Related Least Common Multiples of 8057
Frequently Asked Questions on LCM of 8050 and 8057
1. What is the LCM of 8050 and 8057?
Answer: LCM of 8050 and 8057 is 9265550.
2. What are the Factors of 8050?
Answer: Factors of 8050 are 1, 2, 5, 7, 10, 14, 23, 25, 35, 46, 50, 70, 115, 161, 175, 230, 322, 350, 575, 805, 1150, 1610, 4025, 8050. There are 24 integers that are factors of 8050. The greatest factor of 8050 is 8050.
3. What are the Factors of 8057?
Answer: Factors of 8057 are 1, 7, 1151, 8057. There are 4 integers that are factors of 8057. The greatest factor of 8057 is 8057.
4. How to Find the LCM of 8050 and 8057?
Answer:
Least Common Multiple of 8050 and 8057 = 9265550
Step 1: Find the prime factorization of 8050
8050 = 2 x 5 x 5 x 7 x 23
Step 2: Find the prime factorization of 8057
8057 = 7 x 1151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9265550 = 2 x 5 x 5 x 7 x 23 x 1151
Step 4: Therefore, the least common multiple of 8050 and 8057 is 9265550.