Least Common Multiple (LCM) of 24 and 82
The least common multiple (LCM) of 24 and 82 is 984.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 24 and 82?
First, calculate the GCD of 24 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 24 ÷ 82 = 0 remainder 24 |
| 2 | 82 ÷ 24 = 3 remainder 10 |
| 3 | 24 ÷ 10 = 2 remainder 4 |
| 4 | 10 ÷ 4 = 2 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 164 and 19 | 3116 |
| 84 and 175 | 2100 |
| 153 and 90 | 1530 |
| 107 and 150 | 16050 |
| 131 and 170 | 22270 |