Least Common Multiple (LCM) of 82 and 152
The least common multiple (LCM) of 82 and 152 is 6232.
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 82 and 152?
First, calculate the GCD of 82 and 152 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 82 ÷ 152 = 0 remainder 82 |
| 2 | 152 ÷ 82 = 1 remainder 70 |
| 3 | 82 ÷ 70 = 1 remainder 12 |
| 4 | 70 ÷ 12 = 5 remainder 10 |
| 5 | 12 ÷ 10 = 1 remainder 2 |
| 6 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 163 | 3260 |
| 85 and 59 | 5015 |
| 186 and 137 | 25482 |
| 46 and 56 | 1288 |
| 87 and 187 | 16269 |