Least Common Multiple of 6069 and 6077
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6069 and 6077 the smallest integer that is 36881313 that is divisible by both numbers.
Least Common Multiple (LCM) of 6069 and 6077 is 36881313.
LCM(6069,6077) = 36881313
LCM of 6069 and 6077
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6069 and 6077 by Prime method
- Least Common Multiple of 6069 and 6077 with GCF Formula
LCM of 6069 and 6077 is 36881313
Least common multiple can be found by multiplying the highest exponent prime factors of 6069 and 6077. First we will calculate the prime factors of 6069 and 6077.
Prime Factorization of 6069
| 3 | 6069 |
| 7 | 2023 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 6069 are 3, 7,17. Prime factorization of 6069 in exponential form is:
6069 = 31×71×172
Prime Factorization of 6077
| 59 | 6077 |
| 103 | 103 |
| 1 |
Prime factors of 6077 are 59,103. Prime factorization of 6077 in exponential form is:
6077 = 591×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 6069 and 6077.
LCM(6069,6077) = 31×71×172×591×1031
LCM(6069,6077) = 36881313
Factors of 6069
List of positive integer factors of 6069 that divides 6069 without a remainder.
1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069
Factors of 6077
List of positive integer factors of 6077 that divides 6077 without a remainder.
1, 59, 103, 6077
Least Common Multiple of 6069 and 6077 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6069 and 6077, than apply into the LCM equation.
GCF(6069,6077) = 1
LCM(6069,6077) = ( 6069 × 6077) / 1
LCM(6069,6077) = 36881313 / 1
LCM(6069,6077) = 36881313
Properties of LCM 6069 and 6077
(i) The LCM of 6077 and 6069 is associative
LCM of 6069 and 6077 = LCM of 6077 and 6069
Related Least Common Multiples of 6069
Related Least Common Multiples of 6077
Frequently Asked Questions on LCM of 6069 and 6077
1. What is the LCM of 6069 and 6077?
Answer: LCM of 6069 and 6077 is 36881313.
2. What are the Factors of 6069?
Answer: Factors of 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069. There are 12 integers that are factors of 6069. The greatest factor of 6069 is 6069.
3. What are the Factors of 6077?
Answer: Factors of 6077 are 1, 59, 103, 6077. There are 4 integers that are factors of 6077. The greatest factor of 6077 is 6077.
4. How to Find the LCM of 6069 and 6077?
Answer:
Least Common Multiple of 6069 and 6077 = 36881313
Step 1: Find the prime factorization of 6069
6069 = 3 x 7 x 17 x 17
Step 2: Find the prime factorization of 6077
6077 = 59 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36881313 = 3 x 7 x 17 x 17 x 59 x 103
Step 4: Therefore, the least common multiple of 6069 and 6077 is 36881313.