Least Common Multiple of 8062 and 8067
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 8067 the smallest integer that is 65036154 that is divisible by both numbers.
Least Common Multiple (LCM) of 8062 and 8067 is 65036154.
LCM(8062,8067) = 65036154
LCM of 8062 and 8067
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8062 and 8067 by Prime method
- Least Common Multiple of 8062 and 8067 with GCF Formula
LCM of 8062 and 8067 is 65036154
Least common multiple can be found by multiplying the highest exponent prime factors of 8062 and 8067. First we will calculate the prime factors of 8062 and 8067.
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 8067
| 3 | 8067 |
| 2689 | 2689 |
| 1 |
Prime factors of 8067 are 3,2689. Prime factorization of 8067 in exponential form is:
8067 = 31×26891
Now multiplying the highest exponent prime factors to calculate the LCM of 8062 and 8067.
LCM(8062,8067) = 21×31×291×1391×26891
LCM(8062,8067) = 65036154
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 8067
List of positive integer factors of 8067 that divides 8067 without a remainder.
1, 3, 2689, 8067
Least Common Multiple of 8062 and 8067 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 8067, than apply into the LCM equation.
GCF(8062,8067) = 1
LCM(8062,8067) = ( 8062 × 8067) / 1
LCM(8062,8067) = 65036154 / 1
LCM(8062,8067) = 65036154
Properties of LCM 8062 and 8067
(i) The LCM of 8067 and 8062 is associative
LCM of 8062 and 8067 = LCM of 8067 and 8062
Related Least Common Multiples of 8062
Related Least Common Multiples of 8067
Frequently Asked Questions on LCM of 8062 and 8067
1. What is the LCM of 8062 and 8067?
Answer: LCM of 8062 and 8067 is 65036154.
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 8067?
Answer: Factors of 8067 are 1, 3, 2689, 8067. There are 4 integers that are factors of 8067. The greatest factor of 8067 is 8067.
4. How to Find the LCM of 8062 and 8067?
Answer:
Least Common Multiple of 8062 and 8067 = 65036154
Step 1: Find the prime factorization of 8062
8062 = 2 x 29 x 139
Step 2: Find the prime factorization of 8067
8067 = 3 x 2689
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 65036154 = 2 x 3 x 29 x 139 x 2689
Step 4: Therefore, the least common multiple of 8062 and 8067 is 65036154.