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 |
|---|---|
| 12 and 113 | 1356 |
| 142 and 179 | 25418 |
| 149 and 124 | 18476 |
| 139 and 19 | 2641 |
| 188 and 169 | 31772 |