Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5795 and 5800 the smallest integer that is 6722200 that is divisible by both numbers.
Least Common Multiple (LCM) of 5795 and 5800 is 6722200.
LCM(5795,5800) = 6722200
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 5795 and 5800. First we will calculate the prime factors of 5795 and 5800.
Prime Factorization of 5795
5 | 5795 |
19 | 1159 |
61 | 61 |
1 |
Prime factors of 5795 are 5, 19,61. Prime factorization of 5795 in exponential form is:
5795 = 51×191×611
Prime Factorization of 5800
2 | 5800 |
2 | 2900 |
2 | 1450 |
5 | 725 |
5 | 145 |
29 | 29 |
1 |
Prime factors of 5800 are 2, 5,29. Prime factorization of 5800 in exponential form is:
5800 = 23×52×291
Now multiplying the highest exponent prime factors to calculate the LCM of 5795 and 5800.
LCM(5795,5800) = 23×52×191×291×611
LCM(5795,5800) = 6722200
Factors of 5795
List of positive integer factors of 5795 that divides 5795 without a remainder.
1, 5, 19, 61, 95, 305, 1159, 5795
Factors of 5800
List of positive integer factors of 5800 that divides 5800 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 145, 200, 232, 290, 580, 725, 1160, 1450, 2900, 5800
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5795 and 5800, than apply into the LCM equation.
GCF(5795,5800) = 5
LCM(5795,5800) = ( 5795 × 5800) / 5
LCM(5795,5800) = 33611000 / 5
LCM(5795,5800) = 6722200
(i) The LCM of 5800 and 5795 is associative
LCM of 5795 and 5800 = LCM of 5800 and 5795
1. What is the LCM of 5795 and 5800?
Answer: LCM of 5795 and 5800 is 6722200.
2. What are the Factors of 5795?
Answer: Factors of 5795 are 1, 5, 19, 61, 95, 305, 1159, 5795. There are 8 integers that are factors of 5795. The greatest factor of 5795 is 5795.
3. What are the Factors of 5800?
Answer: Factors of 5800 are 1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 145, 200, 232, 290, 580, 725, 1160, 1450, 2900, 5800. There are 24 integers that are factors of 5800. The greatest factor of 5800 is 5800.
4. How to Find the LCM of 5795 and 5800?
Answer:
Least Common Multiple of 5795 and 5800 = 6722200
Step 1: Find the prime factorization of 5795
5795 = 5 x 19 x 61
Step 2: Find the prime factorization of 5800
5800 = 2 x 2 x 2 x 5 x 5 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 = 6722200 = 2 x 2 x 2 x 5 x 5 x 19 x 29 x 61
Step 4: Therefore, the least common multiple of 5795 and 5800 is 6722200.