Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4586 and 4592 the smallest integer that is 10529456 that is divisible by both numbers.
Least Common Multiple (LCM) of 4586 and 4592 is 10529456.
LCM(4586,4592) = 10529456
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 4586 and 4592. First we will calculate the prime factors of 4586 and 4592.
Prime Factorization of 4586
2 | 4586 |
2293 | 2293 |
1 |
Prime factors of 4586 are 2,2293. Prime factorization of 4586 in exponential form is:
4586 = 21×22931
Prime Factorization of 4592
2 | 4592 |
2 | 2296 |
2 | 1148 |
2 | 574 |
7 | 287 |
41 | 41 |
1 |
Prime factors of 4592 are 2, 7,41. Prime factorization of 4592 in exponential form is:
4592 = 24×71×411
Now multiplying the highest exponent prime factors to calculate the LCM of 4586 and 4592.
LCM(4586,4592) = 24×71×411×22931
LCM(4586,4592) = 10529456
Factors of 4586
List of positive integer factors of 4586 that divides 4586 without a remainder.
1, 2, 2293, 4586
Factors of 4592
List of positive integer factors of 4592 that divides 4592 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4586 and 4592, than apply into the LCM equation.
GCF(4586,4592) = 2
LCM(4586,4592) = ( 4586 × 4592) / 2
LCM(4586,4592) = 21058912 / 2
LCM(4586,4592) = 10529456
(i) The LCM of 4592 and 4586 is associative
LCM of 4586 and 4592 = LCM of 4592 and 4586
1. What is the LCM of 4586 and 4592?
Answer: LCM of 4586 and 4592 is 10529456.
2. What are the Factors of 4586?
Answer: Factors of 4586 are 1, 2, 2293, 4586. There are 4 integers that are factors of 4586. The greatest factor of 4586 is 4586.
3. What are the Factors of 4592?
Answer: Factors of 4592 are 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592. There are 20 integers that are factors of 4592. The greatest factor of 4592 is 4592.
4. How to Find the LCM of 4586 and 4592?
Answer:
Least Common Multiple of 4586 and 4592 = 10529456
Step 1: Find the prime factorization of 4586
4586 = 2 x 2293
Step 2: Find the prime factorization of 4592
4592 = 2 x 2 x 2 x 2 x 7 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10529456 = 2 x 2 x 2 x 2 x 7 x 41 x 2293
Step 4: Therefore, the least common multiple of 4586 and 4592 is 10529456.