Least Common Multiple of 6055 and 6059
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6055 and 6059 the smallest integer that is 36687245 that is divisible by both numbers.
Least Common Multiple (LCM) of 6055 and 6059 is 36687245.
LCM(6055,6059) = 36687245
LCM of 6055 and 6059
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6055 and 6059 by Prime method
- Least Common Multiple of 6055 and 6059 with GCF Formula
LCM of 6055 and 6059 is 36687245
Least common multiple can be found by multiplying the highest exponent prime factors of 6055 and 6059. First we will calculate the prime factors of 6055 and 6059.
Prime Factorization of 6055
| 5 | 6055 |
| 7 | 1211 |
| 173 | 173 |
| 1 |
Prime factors of 6055 are 5, 7,173. Prime factorization of 6055 in exponential form is:
6055 = 51×71×1731
Prime Factorization of 6059
| 73 | 6059 |
| 83 | 83 |
| 1 |
Prime factors of 6059 are 73,83. Prime factorization of 6059 in exponential form is:
6059 = 731×831
Now multiplying the highest exponent prime factors to calculate the LCM of 6055 and 6059.
LCM(6055,6059) = 51×71×731×831×1731
LCM(6055,6059) = 36687245
Factors of 6055
List of positive integer factors of 6055 that divides 6055 without a remainder.
1, 5, 7, 35, 173, 865, 1211, 6055
Factors of 6059
List of positive integer factors of 6059 that divides 6059 without a remainder.
1, 73, 83, 6059
Least Common Multiple of 6055 and 6059 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6055 and 6059, than apply into the LCM equation.
GCF(6055,6059) = 1
LCM(6055,6059) = ( 6055 × 6059) / 1
LCM(6055,6059) = 36687245 / 1
LCM(6055,6059) = 36687245
Properties of LCM 6055 and 6059
(i) The LCM of 6059 and 6055 is associative
LCM of 6055 and 6059 = LCM of 6059 and 6055
Related Least Common Multiples of 6055
Related Least Common Multiples of 6059
Frequently Asked Questions on LCM of 6055 and 6059
1. What is the LCM of 6055 and 6059?
Answer: LCM of 6055 and 6059 is 36687245.
2. What are the Factors of 6055?
Answer: Factors of 6055 are 1, 5, 7, 35, 173, 865, 1211, 6055. There are 8 integers that are factors of 6055. The greatest factor of 6055 is 6055.
3. What are the Factors of 6059?
Answer: Factors of 6059 are 1, 73, 83, 6059. There are 4 integers that are factors of 6059. The greatest factor of 6059 is 6059.
4. How to Find the LCM of 6055 and 6059?
Answer:
Least Common Multiple of 6055 and 6059 = 36687245
Step 1: Find the prime factorization of 6055
6055 = 5 x 7 x 173
Step 2: Find the prime factorization of 6059
6059 = 73 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36687245 = 5 x 7 x 73 x 83 x 173
Step 4: Therefore, the least common multiple of 6055 and 6059 is 36687245.