Least Common Multiple of 6105 and 6110
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6105 and 6110 the smallest integer that is 7460310 that is divisible by both numbers.
Least Common Multiple (LCM) of 6105 and 6110 is 7460310.
LCM(6105,6110) = 7460310
LCM of 6105 and 6110
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6105 and 6110 by Prime method
- Least Common Multiple of 6105 and 6110 with GCF Formula
LCM of 6105 and 6110 is 7460310
Least common multiple can be found by multiplying the highest exponent prime factors of 6105 and 6110. First we will calculate the prime factors of 6105 and 6110.
Prime Factorization of 6105
| 3 | 6105 |
| 5 | 2035 |
| 11 | 407 |
| 37 | 37 |
| 1 |
Prime factors of 6105 are 3, 5, 11,37. Prime factorization of 6105 in exponential form is:
6105 = 31×51×111×371
Prime Factorization of 6110
| 2 | 6110 |
| 5 | 3055 |
| 13 | 611 |
| 47 | 47 |
| 1 |
Prime factors of 6110 are 2, 5, 13,47. Prime factorization of 6110 in exponential form is:
6110 = 21×51×131×471
Now multiplying the highest exponent prime factors to calculate the LCM of 6105 and 6110.
LCM(6105,6110) = 21×31×51×111×131×371×471
LCM(6105,6110) = 7460310
Factors of 6105
List of positive integer factors of 6105 that divides 6105 without a remainder.
1, 3, 5, 11, 15, 33, 37, 55, 111, 165, 185, 407, 555, 1221, 2035, 6105
Factors of 6110
List of positive integer factors of 6110 that divides 6110 without a remainder.
1, 2, 5, 10, 13, 26, 47, 65, 94, 130, 235, 470, 611, 1222, 3055, 6110
Least Common Multiple of 6105 and 6110 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6105 and 6110, than apply into the LCM equation.
GCF(6105,6110) = 5
LCM(6105,6110) = ( 6105 × 6110) / 5
LCM(6105,6110) = 37301550 / 5
LCM(6105,6110) = 7460310
Properties of LCM 6105 and 6110
(i) The LCM of 6110 and 6105 is associative
LCM of 6105 and 6110 = LCM of 6110 and 6105
Related Least Common Multiples of 6105
Related Least Common Multiples of 6110
Frequently Asked Questions on LCM of 6105 and 6110
1. What is the LCM of 6105 and 6110?
Answer: LCM of 6105 and 6110 is 7460310.
2. What are the Factors of 6105?
Answer: Factors of 6105 are 1, 3, 5, 11, 15, 33, 37, 55, 111, 165, 185, 407, 555, 1221, 2035, 6105. There are 16 integers that are factors of 6105. The greatest factor of 6105 is 6105.
3. What are the Factors of 6110?
Answer: Factors of 6110 are 1, 2, 5, 10, 13, 26, 47, 65, 94, 130, 235, 470, 611, 1222, 3055, 6110. There are 16 integers that are factors of 6110. The greatest factor of 6110 is 6110.
4. How to Find the LCM of 6105 and 6110?
Answer:
Least Common Multiple of 6105 and 6110 = 7460310
Step 1: Find the prime factorization of 6105
6105 = 3 x 5 x 11 x 37
Step 2: Find the prime factorization of 6110
6110 = 2 x 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 = 7460310 = 2 x 3 x 5 x 11 x 13 x 37 x 47
Step 4: Therefore, the least common multiple of 6105 and 6110 is 7460310.