Least Common Multiple of 8062 and 8069
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8062 and 8069 the smallest integer that is 65052278 that is divisible by both numbers.
Least Common Multiple (LCM) of 8062 and 8069 is 65052278.
LCM(8062,8069) = 65052278
LCM of 8062 and 8069
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8062 and 8069 by Prime method
- Least Common Multiple of 8062 and 8069 with GCF Formula
LCM of 8062 and 8069 is 65052278
Least common multiple can be found by multiplying the highest exponent prime factors of 8062 and 8069. First we will calculate the prime factors of 8062 and 8069.
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
Prime Factorization of 8069
| 8069 | 8069 |
| 1 |
Prime factors of 8069 are 8069. Prime factorization of 8069 in exponential form is:
8069 = 80691
Now multiplying the highest exponent prime factors to calculate the LCM of 8062 and 8069.
LCM(8062,8069) = 21×291×1391×80691
LCM(8062,8069) = 65052278
Factors of 8062
List of positive integer factors of 8062 that divides 8062 without a remainder.
1, 2, 29, 58, 139, 278, 4031, 8062
Factors of 8069
List of positive integer factors of 8069 that divides 8069 without a remainder.
1, 8069
Least Common Multiple of 8062 and 8069 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8062 and 8069, than apply into the LCM equation.
GCF(8062,8069) = 1
LCM(8062,8069) = ( 8062 × 8069) / 1
LCM(8062,8069) = 65052278 / 1
LCM(8062,8069) = 65052278
Properties of LCM 8062 and 8069
(i) The LCM of 8069 and 8062 is associative
LCM of 8062 and 8069 = LCM of 8069 and 8062
Related Least Common Multiples of 8062
Related Least Common Multiples of 8069
Frequently Asked Questions on LCM of 8062 and 8069
1. What is the LCM of 8062 and 8069?
Answer: LCM of 8062 and 8069 is 65052278.
2. 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.
3. What are the Factors of 8069?
Answer: Factors of 8069 are 1, 8069. There are 2 integers that are factors of 8069. The greatest factor of 8069 is 8069.
4. How to Find the LCM of 8062 and 8069?
Answer:
Least Common Multiple of 8062 and 8069 = 65052278
Step 1: Find the prime factorization of 8062
8062 = 2 x 29 x 139
Step 2: Find the prime factorization of 8069
8069 = 8069
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65052278 = 2 x 29 x 139 x 8069
Step 4: Therefore, the least common multiple of 8062 and 8069 is 65052278.