Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8592 and 8599 the smallest integer that is 73882608 that is divisible by both numbers.
Least Common Multiple (LCM) of 8592 and 8599 is 73882608.
LCM(8592,8599) = 73882608
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 8592 and 8599. First we will calculate the prime factors of 8592 and 8599.
Prime Factorization of 8592
2 | 8592 |
2 | 4296 |
2 | 2148 |
2 | 1074 |
3 | 537 |
179 | 179 |
1 |
Prime factors of 8592 are 2, 3,179. Prime factorization of 8592 in exponential form is:
8592 = 24×31×1791
Prime Factorization of 8599
8599 | 8599 |
1 |
Prime factors of 8599 are 8599. Prime factorization of 8599 in exponential form is:
8599 = 85991
Now multiplying the highest exponent prime factors to calculate the LCM of 8592 and 8599.
LCM(8592,8599) = 24×31×1791×85991
LCM(8592,8599) = 73882608
Factors of 8592
List of positive integer factors of 8592 that divides 8592 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 179, 358, 537, 716, 1074, 1432, 2148, 2864, 4296, 8592
Factors of 8599
List of positive integer factors of 8599 that divides 8599 without a remainder.
1, 8599
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8592 and 8599, than apply into the LCM equation.
GCF(8592,8599) = 1
LCM(8592,8599) = ( 8592 × 8599) / 1
LCM(8592,8599) = 73882608 / 1
LCM(8592,8599) = 73882608
(i) The LCM of 8599 and 8592 is associative
LCM of 8592 and 8599 = LCM of 8599 and 8592
1. What is the LCM of 8592 and 8599?
Answer: LCM of 8592 and 8599 is 73882608.
2. What are the Factors of 8592?
Answer: Factors of 8592 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 179, 358, 537, 716, 1074, 1432, 2148, 2864, 4296, 8592. There are 20 integers that are factors of 8592. The greatest factor of 8592 is 8592.
3. What are the Factors of 8599?
Answer: Factors of 8599 are 1, 8599. There are 2 integers that are factors of 8599. The greatest factor of 8599 is 8599.
4. How to Find the LCM of 8592 and 8599?
Answer:
Least Common Multiple of 8592 and 8599 = 73882608
Step 1: Find the prime factorization of 8592
8592 = 2 x 2 x 2 x 2 x 3 x 179
Step 2: Find the prime factorization of 8599
8599 = 8599
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 73882608 = 2 x 2 x 2 x 2 x 3 x 179 x 8599
Step 4: Therefore, the least common multiple of 8592 and 8599 is 73882608.