Least Common Multiple of 4069 and 4077
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4069 and 4077 the smallest integer that is 16589313 that is divisible by both numbers.
Least Common Multiple (LCM) of 4069 and 4077 is 16589313.
LCM(4069,4077) = 16589313
LCM of 4069 and 4077
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4069 and 4077 by Prime method
- Least Common Multiple of 4069 and 4077 with GCF Formula
LCM of 4069 and 4077 is 16589313
Least common multiple can be found by multiplying the highest exponent prime factors of 4069 and 4077. First we will calculate the prime factors of 4069 and 4077.
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
Prime Factorization of 4077
| 3 | 4077 |
| 3 | 1359 |
| 3 | 453 |
| 151 | 151 |
| 1 |
Prime factors of 4077 are 3,151. Prime factorization of 4077 in exponential form is:
4077 = 33×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 4069 and 4077.
LCM(4069,4077) = 33×131×1511×3131
LCM(4069,4077) = 16589313
Factors of 4069
List of positive integer factors of 4069 that divides 4069 without a remainder.
1, 13, 313, 4069
Factors of 4077
List of positive integer factors of 4077 that divides 4077 without a remainder.
1, 3, 9, 27, 151, 453, 1359, 4077
Least Common Multiple of 4069 and 4077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4069 and 4077, than apply into the LCM equation.
GCF(4069,4077) = 1
LCM(4069,4077) = ( 4069 × 4077) / 1
LCM(4069,4077) = 16589313 / 1
LCM(4069,4077) = 16589313
Properties of LCM 4069 and 4077
(i) The LCM of 4077 and 4069 is associative
LCM of 4069 and 4077 = LCM of 4077 and 4069
Related Least Common Multiples of 4069
Related Least Common Multiples of 4077
Frequently Asked Questions on LCM of 4069 and 4077
1. What is the LCM of 4069 and 4077?
Answer: LCM of 4069 and 4077 is 16589313.
2. 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.
3. What are the Factors of 4077?
Answer: Factors of 4077 are 1, 3, 9, 27, 151, 453, 1359, 4077. There are 8 integers that are factors of 4077. The greatest factor of 4077 is 4077.
4. How to Find the LCM of 4069 and 4077?
Answer:
Least Common Multiple of 4069 and 4077 = 16589313
Step 1: Find the prime factorization of 4069
4069 = 13 x 313
Step 2: Find the prime factorization of 4077
4077 = 3 x 3 x 3 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 16589313 = 3 x 3 x 3 x 13 x 151 x 313
Step 4: Therefore, the least common multiple of 4069 and 4077 is 16589313.