Least Common Multiple of 6059 and 6066
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 6066 the smallest integer that is 36753894 that is divisible by both numbers.
Least Common Multiple (LCM) of 6059 and 6066 is 36753894.
LCM(6059,6066) = 36753894
LCM of 6059 and 6066
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6059 and 6066 by Prime method
- Least Common Multiple of 6059 and 6066 with GCF Formula
LCM of 6059 and 6066 is 36753894
Least common multiple can be found by multiplying the highest exponent prime factors of 6059 and 6066. First we will calculate the prime factors of 6059 and 6066.
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 6066
| 2 | 6066 |
| 3 | 3033 |
| 3 | 1011 |
| 337 | 337 |
| 1 |
Prime factors of 6066 are 2, 3,337. Prime factorization of 6066 in exponential form is:
6066 = 21×32×3371
Now multiplying the highest exponent prime factors to calculate the LCM of 6059 and 6066.
LCM(6059,6066) = 21×32×731×831×3371
LCM(6059,6066) = 36753894
Factors of 6059
List of positive integer factors of 6059 that divides 6059 without a remainder.
1, 73, 83, 6059
Factors of 6066
List of positive integer factors of 6066 that divides 6066 without a remainder.
1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066
Least Common Multiple of 6059 and 6066 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 6066, than apply into the LCM equation.
GCF(6059,6066) = 1
LCM(6059,6066) = ( 6059 × 6066) / 1
LCM(6059,6066) = 36753894 / 1
LCM(6059,6066) = 36753894
Properties of LCM 6059 and 6066
(i) The LCM of 6066 and 6059 is associative
LCM of 6059 and 6066 = LCM of 6066 and 6059
Related Least Common Multiples of 6059
Related Least Common Multiples of 6066
Frequently Asked Questions on LCM of 6059 and 6066
1. What is the LCM of 6059 and 6066?
Answer: LCM of 6059 and 6066 is 36753894.
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 6066?
Answer: Factors of 6066 are 1, 2, 3, 6, 9, 18, 337, 674, 1011, 2022, 3033, 6066. There are 12 integers that are factors of 6066. The greatest factor of 6066 is 6066.
4. How to Find the LCM of 6059 and 6066?
Answer:
Least Common Multiple of 6059 and 6066 = 36753894
Step 1: Find the prime factorization of 6059
6059 = 73 x 83
Step 2: Find the prime factorization of 6066
6066 = 2 x 3 x 3 x 337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36753894 = 2 x 3 x 3 x 73 x 83 x 337
Step 4: Therefore, the least common multiple of 6059 and 6066 is 36753894.