Least Common Multiple (LCM) of 196 and 38
The least common multiple (LCM) of 196 and 38 is 3724.
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 196 and 38?
First, calculate the GCD of 196 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 38 = 5 remainder 6 |
| 2 | 38 ÷ 6 = 6 remainder 2 |
| 3 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 85 and 191 | 16235 |
| 172 and 78 | 6708 |
| 179 and 70 | 12530 |
| 35 and 10 | 70 |
| 136 and 118 | 8024 |