Least Common Multiple of 8057 and 8062
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8057 and 8062 the smallest integer that is 64955534 that is divisible by both numbers.
Least Common Multiple (LCM) of 8057 and 8062 is 64955534.
LCM(8057,8062) = 64955534
LCM of 8057 and 8062
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8057 and 8062 by Prime method
- Least Common Multiple of 8057 and 8062 with GCF Formula
LCM of 8057 and 8062 is 64955534
Least common multiple can be found by multiplying the highest exponent prime factors of 8057 and 8062. First we will calculate the prime factors of 8057 and 8062.
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
Prime Factorization of 8062
| 2 | 8062 |
| 29 | 4031 |
| 139 | 139 |
| 1 |
Prime factors of 8062 are 2, 29,139. Prime factorization of 8062 in exponential form is:
8062 = 21×291×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 8057 and 8062.
LCM(8057,8062) = 21×71×291×1391×11511
LCM(8057,8062) = 64955534
Factors of 8057
List of positive integer factors of 8057 that divides 8057 without a remainder.
1, 7, 1151, 8057
Factors of 8062
List of positive integer factors of 8062 that divides 8062 without a remainder.
1, 2, 29, 58, 139, 278, 4031, 8062
Least Common Multiple of 8057 and 8062 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8057 and 8062, than apply into the LCM equation.
GCF(8057,8062) = 1
LCM(8057,8062) = ( 8057 × 8062) / 1
LCM(8057,8062) = 64955534 / 1
LCM(8057,8062) = 64955534
Properties of LCM 8057 and 8062
(i) The LCM of 8062 and 8057 is associative
LCM of 8057 and 8062 = LCM of 8062 and 8057
Related Least Common Multiples of 8057
Related Least Common Multiples of 8062
Frequently Asked Questions on LCM of 8057 and 8062
1. What is the LCM of 8057 and 8062?
Answer: LCM of 8057 and 8062 is 64955534.
2. 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.
3. What are the Factors of 8062?
Answer: Factors of 8062 are 1, 2, 29, 58, 139, 278, 4031, 8062. There are 8 integers that are factors of 8062. The greatest factor of 8062 is 8062.
4. How to Find the LCM of 8057 and 8062?
Answer:
Least Common Multiple of 8057 and 8062 = 64955534
Step 1: Find the prime factorization of 8057
8057 = 7 x 1151
Step 2: Find the prime factorization of 8062
8062 = 2 x 29 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 64955534 = 2 x 7 x 29 x 139 x 1151
Step 4: Therefore, the least common multiple of 8057 and 8062 is 64955534.