Least Common Multiple of 4062 and 4069
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4062 and 4069 the smallest integer that is 16528278 that is divisible by both numbers.
Least Common Multiple (LCM) of 4062 and 4069 is 16528278.
LCM(4062,4069) = 16528278
LCM of 4062 and 4069
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4062 and 4069 by Prime method
- Least Common Multiple of 4062 and 4069 with GCF Formula
LCM of 4062 and 4069 is 16528278
Least common multiple can be found by multiplying the highest exponent prime factors of 4062 and 4069. First we will calculate the prime factors of 4062 and 4069.
Prime Factorization of 4062
| 2 | 4062 |
| 3 | 2031 |
| 677 | 677 |
| 1 |
Prime factors of 4062 are 2, 3,677. Prime factorization of 4062 in exponential form is:
4062 = 21×31×6771
Prime Factorization of 4069
| 13 | 4069 |
| 313 | 313 |
| 1 |
Prime factors of 4069 are 13,313. Prime factorization of 4069 in exponential form is:
4069 = 131×3131
Now multiplying the highest exponent prime factors to calculate the LCM of 4062 and 4069.
LCM(4062,4069) = 21×31×131×3131×6771
LCM(4062,4069) = 16528278
Factors of 4062
List of positive integer factors of 4062 that divides 4062 without a remainder.
1, 2, 3, 6, 677, 1354, 2031, 4062
Factors of 4069
List of positive integer factors of 4069 that divides 4069 without a remainder.
1, 13, 313, 4069
Least Common Multiple of 4062 and 4069 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4062 and 4069, than apply into the LCM equation.
GCF(4062,4069) = 1
LCM(4062,4069) = ( 4062 × 4069) / 1
LCM(4062,4069) = 16528278 / 1
LCM(4062,4069) = 16528278
Properties of LCM 4062 and 4069
(i) The LCM of 4069 and 4062 is associative
LCM of 4062 and 4069 = LCM of 4069 and 4062
Related Least Common Multiples of 4062
Related Least Common Multiples of 4069
Frequently Asked Questions on LCM of 4062 and 4069
1. What is the LCM of 4062 and 4069?
Answer: LCM of 4062 and 4069 is 16528278.
2. What are the Factors of 4062?
Answer: Factors of 4062 are 1, 2, 3, 6, 677, 1354, 2031, 4062. There are 8 integers that are factors of 4062. The greatest factor of 4062 is 4062.
3. What are the Factors of 4069?
Answer: Factors of 4069 are 1, 13, 313, 4069. There are 4 integers that are factors of 4069. The greatest factor of 4069 is 4069.
4. How to Find the LCM of 4062 and 4069?
Answer:
Least Common Multiple of 4062 and 4069 = 16528278
Step 1: Find the prime factorization of 4062
4062 = 2 x 3 x 677
Step 2: Find the prime factorization of 4069
4069 = 13 x 313
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16528278 = 2 x 3 x 13 x 313 x 677
Step 4: Therefore, the least common multiple of 4062 and 4069 is 16528278.