Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3069 and 3077 the smallest integer that is 9443313 that is divisible by both numbers.
Least Common Multiple (LCM) of 3069 and 3077 is 9443313.
LCM(3069,3077) = 9443313
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 3069 and 3077. First we will calculate the prime factors of 3069 and 3077.
Prime Factorization of 3069
3 | 3069 |
3 | 1023 |
11 | 341 |
31 | 31 |
1 |
Prime factors of 3069 are 3, 11,31. Prime factorization of 3069 in exponential form is:
3069 = 32×111×311
Prime Factorization of 3077
17 | 3077 |
181 | 181 |
1 |
Prime factors of 3077 are 17,181. Prime factorization of 3077 in exponential form is:
3077 = 171×1811
Now multiplying the highest exponent prime factors to calculate the LCM of 3069 and 3077.
LCM(3069,3077) = 32×111×171×311×1811
LCM(3069,3077) = 9443313
Factors of 3069
List of positive integer factors of 3069 that divides 3069 without a remainder.
1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069
Factors of 3077
List of positive integer factors of 3077 that divides 3077 without a remainder.
1, 17, 181, 3077
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3069 and 3077, than apply into the LCM equation.
GCF(3069,3077) = 1
LCM(3069,3077) = ( 3069 × 3077) / 1
LCM(3069,3077) = 9443313 / 1
LCM(3069,3077) = 9443313
(i) The LCM of 3077 and 3069 is associative
LCM of 3069 and 3077 = LCM of 3077 and 3069
1. What is the LCM of 3069 and 3077?
Answer: LCM of 3069 and 3077 is 9443313.
2. What are the Factors of 3069?
Answer: Factors of 3069 are 1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069. There are 12 integers that are factors of 3069. The greatest factor of 3069 is 3069.
3. What are the Factors of 3077?
Answer: Factors of 3077 are 1, 17, 181, 3077. There are 4 integers that are factors of 3077. The greatest factor of 3077 is 3077.
4. How to Find the LCM of 3069 and 3077?
Answer:
Least Common Multiple of 3069 and 3077 = 9443313
Step 1: Find the prime factorization of 3069
3069 = 3 x 3 x 11 x 31
Step 2: Find the prime factorization of 3077
3077 = 17 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9443313 = 3 x 3 x 11 x 17 x 31 x 181
Step 4: Therefore, the least common multiple of 3069 and 3077 is 9443313.