Least Common Multiple of 6035 and 6042
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6035 and 6042 the smallest integer that is 36463470 that is divisible by both numbers.
Least Common Multiple (LCM) of 6035 and 6042 is 36463470.
LCM(6035,6042) = 36463470
LCM of 6035 and 6042
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6035 and 6042 by Prime method
- Least Common Multiple of 6035 and 6042 with GCF Formula
LCM of 6035 and 6042 is 36463470
Least common multiple can be found by multiplying the highest exponent prime factors of 6035 and 6042. First we will calculate the prime factors of 6035 and 6042.
Prime Factorization of 6035
| 5 | 6035 |
| 17 | 1207 |
| 71 | 71 |
| 1 |
Prime factors of 6035 are 5, 17,71. Prime factorization of 6035 in exponential form is:
6035 = 51×171×711
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6035 and 6042.
LCM(6035,6042) = 21×31×51×171×191×531×711
LCM(6035,6042) = 36463470
Factors of 6035
List of positive integer factors of 6035 that divides 6035 without a remainder.
1, 5, 17, 71, 85, 355, 1207, 6035
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
Least Common Multiple of 6035 and 6042 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6035 and 6042, than apply into the LCM equation.
GCF(6035,6042) = 1
LCM(6035,6042) = ( 6035 × 6042) / 1
LCM(6035,6042) = 36463470 / 1
LCM(6035,6042) = 36463470
Properties of LCM 6035 and 6042
(i) The LCM of 6042 and 6035 is associative
LCM of 6035 and 6042 = LCM of 6042 and 6035
Related Least Common Multiples of 6035
Related Least Common Multiples of 6042
Frequently Asked Questions on LCM of 6035 and 6042
1. What is the LCM of 6035 and 6042?
Answer: LCM of 6035 and 6042 is 36463470.
2. What are the Factors of 6035?
Answer: Factors of 6035 are 1, 5, 17, 71, 85, 355, 1207, 6035. There are 8 integers that are factors of 6035. The greatest factor of 6035 is 6035.
3. 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.
4. How to Find the LCM of 6035 and 6042?
Answer:
Least Common Multiple of 6035 and 6042 = 36463470
Step 1: Find the prime factorization of 6035
6035 = 5 x 17 x 71
Step 2: Find the prime factorization of 6042
6042 = 2 x 3 x 19 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36463470 = 2 x 3 x 5 x 17 x 19 x 53 x 71
Step 4: Therefore, the least common multiple of 6035 and 6042 is 36463470.