Least Common Multiple (LCM) of 38 and 82
The least common multiple (LCM) of 38 and 82 is 1558.
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 38 and 82?
First, calculate the GCD of 38 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 38 ÷ 82 = 0 remainder 38 |
| 2 | 82 ÷ 38 = 2 remainder 6 |
| 3 | 38 ÷ 6 = 6 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 193 | 30108 |
| 71 and 171 | 12141 |
| 125 and 76 | 9500 |
| 68 and 193 | 13124 |
| 162 and 151 | 24462 |