Least Common Multiple of 6042 and 6045
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6042 and 6045 the smallest integer that is 12174630 that is divisible by both numbers.
Least Common Multiple (LCM) of 6042 and 6045 is 12174630.
LCM(6042,6045) = 12174630
LCM of 6042 and 6045
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6042 and 6045 by Prime method
- Least Common Multiple of 6042 and 6045 with GCF Formula
LCM of 6042 and 6045 is 12174630
Least common multiple can be found by multiplying the highest exponent prime factors of 6042 and 6045. First we will calculate the prime factors of 6042 and 6045.
Prime Factorization of 6042
| 2 | 6042 |
| 3 | 3021 |
| 19 | 1007 |
| 53 | 53 |
| 1 |
Prime factors of 6042 are 2, 3, 19,53. Prime factorization of 6042 in exponential form is:
6042 = 21×31×191×531
Prime Factorization of 6045
| 3 | 6045 |
| 5 | 2015 |
| 13 | 403 |
| 31 | 31 |
| 1 |
Prime factors of 6045 are 3, 5, 13,31. Prime factorization of 6045 in exponential form is:
6045 = 31×51×131×311
Now multiplying the highest exponent prime factors to calculate the LCM of 6042 and 6045.
LCM(6042,6045) = 21×31×51×131×191×311×531
LCM(6042,6045) = 12174630
Factors of 6042
List of positive integer factors of 6042 that divides 6042 without a remainder.
1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042
Factors of 6045
List of positive integer factors of 6045 that divides 6045 without a remainder.
1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045
Least Common Multiple of 6042 and 6045 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6042 and 6045, than apply into the LCM equation.
GCF(6042,6045) = 3
LCM(6042,6045) = ( 6042 × 6045) / 3
LCM(6042,6045) = 36523890 / 3
LCM(6042,6045) = 12174630
Properties of LCM 6042 and 6045
(i) The LCM of 6045 and 6042 is associative
LCM of 6042 and 6045 = LCM of 6045 and 6042
Related Least Common Multiples of 6042
Related Least Common Multiples of 6045
Frequently Asked Questions on LCM of 6042 and 6045
1. What is the LCM of 6042 and 6045?
Answer: LCM of 6042 and 6045 is 12174630.
2. What are the Factors of 6042?
Answer: Factors of 6042 are 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042. There are 16 integers that are factors of 6042. The greatest factor of 6042 is 6042.
3. What are the Factors of 6045?
Answer: Factors of 6045 are 1, 3, 5, 13, 15, 31, 39, 65, 93, 155, 195, 403, 465, 1209, 2015, 6045. There are 16 integers that are factors of 6045. The greatest factor of 6045 is 6045.
4. How to Find the LCM of 6042 and 6045?
Answer:
Least Common Multiple of 6042 and 6045 = 12174630
Step 1: Find the prime factorization of 6042
6042 = 2 x 3 x 19 x 53
Step 2: Find the prime factorization of 6045
6045 = 3 x 5 x 13 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 12174630 = 2 x 3 x 5 x 13 x 19 x 31 x 53
Step 4: Therefore, the least common multiple of 6042 and 6045 is 12174630.