Least Common Multiple of 6054 and 6059
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6054 and 6059 the smallest integer that is 36681186 that is divisible by both numbers.
Least Common Multiple (LCM) of 6054 and 6059 is 36681186.
LCM(6054,6059) = 36681186
LCM of 6054 and 6059
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6054 and 6059 by Prime method
- Least Common Multiple of 6054 and 6059 with GCF Formula
LCM of 6054 and 6059 is 36681186
Least common multiple can be found by multiplying the highest exponent prime factors of 6054 and 6059. First we will calculate the prime factors of 6054 and 6059.
Prime Factorization of 6054
| 2 | 6054 |
| 3 | 3027 |
| 1009 | 1009 |
| 1 |
Prime factors of 6054 are 2, 3,1009. Prime factorization of 6054 in exponential form is:
6054 = 21×31×10091
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6054 and 6059.
LCM(6054,6059) = 21×31×731×831×10091
LCM(6054,6059) = 36681186
Factors of 6054
List of positive integer factors of 6054 that divides 6054 without a remainder.
1, 2, 3, 6, 1009, 2018, 3027, 6054
Factors of 6059
List of positive integer factors of 6059 that divides 6059 without a remainder.
1, 73, 83, 6059
Least Common Multiple of 6054 and 6059 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6054 and 6059, than apply into the LCM equation.
GCF(6054,6059) = 1
LCM(6054,6059) = ( 6054 × 6059) / 1
LCM(6054,6059) = 36681186 / 1
LCM(6054,6059) = 36681186
Properties of LCM 6054 and 6059
(i) The LCM of 6059 and 6054 is associative
LCM of 6054 and 6059 = LCM of 6059 and 6054
Related Least Common Multiples of 6054
Related Least Common Multiples of 6059
Frequently Asked Questions on LCM of 6054 and 6059
1. What is the LCM of 6054 and 6059?
Answer: LCM of 6054 and 6059 is 36681186.
2. What are the Factors of 6054?
Answer: Factors of 6054 are 1, 2, 3, 6, 1009, 2018, 3027, 6054. There are 8 integers that are factors of 6054. The greatest factor of 6054 is 6054.
3. 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.
4. How to Find the LCM of 6054 and 6059?
Answer:
Least Common Multiple of 6054 and 6059 = 36681186
Step 1: Find the prime factorization of 6054
6054 = 2 x 3 x 1009
Step 2: Find the prime factorization of 6059
6059 = 73 x 83
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 36681186 = 2 x 3 x 73 x 83 x 1009
Step 4: Therefore, the least common multiple of 6054 and 6059 is 36681186.