Least Common Multiple of 6059 and 6061
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 6061 the smallest integer that is 36723599 that is divisible by both numbers.
Least Common Multiple (LCM) of 6059 and 6061 is 36723599.
LCM(6059,6061) = 36723599
LCM of 6059 and 6061
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6059 and 6061 by Prime method
- Least Common Multiple of 6059 and 6061 with GCF Formula
LCM of 6059 and 6061 is 36723599
Least common multiple can be found by multiplying the highest exponent prime factors of 6059 and 6061. First we will calculate the prime factors of 6059 and 6061.
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 6061
| 11 | 6061 |
| 19 | 551 |
| 29 | 29 |
| 1 |
Prime factors of 6061 are 11, 19,29. Prime factorization of 6061 in exponential form is:
6061 = 111×191×291
Now multiplying the highest exponent prime factors to calculate the LCM of 6059 and 6061.
LCM(6059,6061) = 111×191×291×731×831
LCM(6059,6061) = 36723599
Factors of 6059
List of positive integer factors of 6059 that divides 6059 without a remainder.
1, 73, 83, 6059
Factors of 6061
List of positive integer factors of 6061 that divides 6061 without a remainder.
1, 11, 19, 29, 209, 319, 551, 6061
Least Common Multiple of 6059 and 6061 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 6061, than apply into the LCM equation.
GCF(6059,6061) = 1
LCM(6059,6061) = ( 6059 × 6061) / 1
LCM(6059,6061) = 36723599 / 1
LCM(6059,6061) = 36723599
Properties of LCM 6059 and 6061
(i) The LCM of 6061 and 6059 is associative
LCM of 6059 and 6061 = LCM of 6061 and 6059
Related Least Common Multiples of 6059
Related Least Common Multiples of 6061
Frequently Asked Questions on LCM of 6059 and 6061
1. What is the LCM of 6059 and 6061?
Answer: LCM of 6059 and 6061 is 36723599.
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 6061?
Answer: Factors of 6061 are 1, 11, 19, 29, 209, 319, 551, 6061. There are 8 integers that are factors of 6061. The greatest factor of 6061 is 6061.
4. How to Find the LCM of 6059 and 6061?
Answer:
Least Common Multiple of 6059 and 6061 = 36723599
Step 1: Find the prime factorization of 6059
6059 = 73 x 83
Step 2: Find the prime factorization of 6061
6061 = 11 x 19 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36723599 = 11 x 19 x 29 x 73 x 83
Step 4: Therefore, the least common multiple of 6059 and 6061 is 36723599.