Least Common Multiple of 3049 and 3055
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3049 and 3055 the smallest integer that is 9314695 that is divisible by both numbers.
Least Common Multiple (LCM) of 3049 and 3055 is 9314695.
LCM(3049,3055) = 9314695
LCM of 3049 and 3055
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3049 and 3055 by Prime method
- Least Common Multiple of 3049 and 3055 with GCF Formula
LCM of 3049 and 3055 is 9314695
Least common multiple can be found by multiplying the highest exponent prime factors of 3049 and 3055. First we will calculate the prime factors of 3049 and 3055.
Prime Factorization of 3049
| 3049 | 3049 |
| 1 |
Prime factors of 3049 are 3049. Prime factorization of 3049 in exponential form is:
3049 = 30491
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
Now multiplying the highest exponent prime factors to calculate the LCM of 3049 and 3055.
LCM(3049,3055) = 51×131×471×30491
LCM(3049,3055) = 9314695
Factors of 3049
List of positive integer factors of 3049 that divides 3049 without a remainder.
1, 3049
Factors of 3055
List of positive integer factors of 3055 that divides 3055 without a remainder.
1, 5, 13, 47, 65, 235, 611, 3055
Least Common Multiple of 3049 and 3055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3049 and 3055, than apply into the LCM equation.
GCF(3049,3055) = 1
LCM(3049,3055) = ( 3049 × 3055) / 1
LCM(3049,3055) = 9314695 / 1
LCM(3049,3055) = 9314695
Properties of LCM 3049 and 3055
(i) The LCM of 3055 and 3049 is associative
LCM of 3049 and 3055 = LCM of 3055 and 3049
Related Least Common Multiples of 3049
Related Least Common Multiples of 3055
Frequently Asked Questions on LCM of 3049 and 3055
1. What is the LCM of 3049 and 3055?
Answer: LCM of 3049 and 3055 is 9314695.
2. What are the Factors of 3049?
Answer: Factors of 3049 are 1, 3049. There are 2 integers that are factors of 3049. The greatest factor of 3049 is 3049.
3. 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.
4. How to Find the LCM of 3049 and 3055?
Answer:
Least Common Multiple of 3049 and 3055 = 9314695
Step 1: Find the prime factorization of 3049
3049 = 3049
Step 2: Find the prime factorization of 3055
3055 = 5 x 13 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 9314695 = 5 x 13 x 47 x 3049
Step 4: Therefore, the least common multiple of 3049 and 3055 is 9314695.