Least Common Multiple of 3055 and 3061
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3055 and 3061 the smallest integer that is 9351355 that is divisible by both numbers.
Least Common Multiple (LCM) of 3055 and 3061 is 9351355.
LCM(3055,3061) = 9351355
LCM of 3055 and 3061
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3055 and 3061 by Prime method
- Least Common Multiple of 3055 and 3061 with GCF Formula
LCM of 3055 and 3061 is 9351355
Least common multiple can be found by multiplying the highest exponent prime factors of 3055 and 3061. First we will calculate the prime factors of 3055 and 3061.
Prime Factorization of 3055
| 5 | 3055 |
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 3055 are 5, 13,47. Prime factorization of 3055 in exponential form is:
3055 = 51×131×471
Prime Factorization of 3061
| 3061 | 3061 |
| 1 |
Prime factors of 3061 are 3061. Prime factorization of 3061 in exponential form is:
3061 = 30611
Now multiplying the highest exponent prime factors to calculate the LCM of 3055 and 3061.
LCM(3055,3061) = 51×131×471×30611
LCM(3055,3061) = 9351355
Factors of 3055
List of positive integer factors of 3055 that divides 3055 without a remainder.
1, 5, 13, 47, 65, 235, 611, 3055
Factors of 3061
List of positive integer factors of 3061 that divides 3061 without a remainder.
1, 3061
Least Common Multiple of 3055 and 3061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3055 and 3061, than apply into the LCM equation.
GCF(3055,3061) = 1
LCM(3055,3061) = ( 3055 × 3061) / 1
LCM(3055,3061) = 9351355 / 1
LCM(3055,3061) = 9351355
Properties of LCM 3055 and 3061
(i) The LCM of 3061 and 3055 is associative
LCM of 3055 and 3061 = LCM of 3061 and 3055
Related Least Common Multiples of 3055
Related Least Common Multiples of 3061
Frequently Asked Questions on LCM of 3055 and 3061
1. What is the LCM of 3055 and 3061?
Answer: LCM of 3055 and 3061 is 9351355.
2. What are the Factors of 3055?
Answer: Factors of 3055 are 1, 5, 13, 47, 65, 235, 611, 3055. There are 8 integers that are factors of 3055. The greatest factor of 3055 is 3055.
3. What are the Factors of 3061?
Answer: Factors of 3061 are 1, 3061. There are 2 integers that are factors of 3061. The greatest factor of 3061 is 3061.
4. How to Find the LCM of 3055 and 3061?
Answer:
Least Common Multiple of 3055 and 3061 = 9351355
Step 1: Find the prime factorization of 3055
3055 = 5 x 13 x 47
Step 2: Find the prime factorization of 3061
3061 = 3061
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9351355 = 5 x 13 x 47 x 3061
Step 4: Therefore, the least common multiple of 3055 and 3061 is 9351355.