Least Common Multiple of 6059 and 6063
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6059 and 6063 the smallest integer that is 36735717 that is divisible by both numbers.
Least Common Multiple (LCM) of 6059 and 6063 is 36735717.
LCM(6059,6063) = 36735717
LCM of 6059 and 6063
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6059 and 6063 by Prime method
- Least Common Multiple of 6059 and 6063 with GCF Formula
LCM of 6059 and 6063 is 36735717
Least common multiple can be found by multiplying the highest exponent prime factors of 6059 and 6063. First we will calculate the prime factors of 6059 and 6063.
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
Prime Factorization of 6063
| 3 | 6063 |
| 43 | 2021 |
| 47 | 47 |
| 1 |
Prime factors of 6063 are 3, 43,47. Prime factorization of 6063 in exponential form is:
6063 = 31×431×471
Now multiplying the highest exponent prime factors to calculate the LCM of 6059 and 6063.
LCM(6059,6063) = 31×431×471×731×831
LCM(6059,6063) = 36735717
Factors of 6059
List of positive integer factors of 6059 that divides 6059 without a remainder.
1, 73, 83, 6059
Factors of 6063
List of positive integer factors of 6063 that divides 6063 without a remainder.
1, 3, 43, 47, 129, 141, 2021, 6063
Least Common Multiple of 6059 and 6063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6059 and 6063, than apply into the LCM equation.
GCF(6059,6063) = 1
LCM(6059,6063) = ( 6059 × 6063) / 1
LCM(6059,6063) = 36735717 / 1
LCM(6059,6063) = 36735717
Properties of LCM 6059 and 6063
(i) The LCM of 6063 and 6059 is associative
LCM of 6059 and 6063 = LCM of 6063 and 6059
Related Least Common Multiples of 6059
Related Least Common Multiples of 6063
Frequently Asked Questions on LCM of 6059 and 6063
1. What is the LCM of 6059 and 6063?
Answer: LCM of 6059 and 6063 is 36735717.
2. 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.
3. What are the Factors of 6063?
Answer: Factors of 6063 are 1, 3, 43, 47, 129, 141, 2021, 6063. There are 8 integers that are factors of 6063. The greatest factor of 6063 is 6063.
4. How to Find the LCM of 6059 and 6063?
Answer:
Least Common Multiple of 6059 and 6063 = 36735717
Step 1: Find the prime factorization of 6059
6059 = 73 x 83
Step 2: Find the prime factorization of 6063
6063 = 3 x 43 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 = 36735717 = 3 x 43 x 47 x 73 x 83
Step 4: Therefore, the least common multiple of 6059 and 6063 is 36735717.