Least Common Multiple (LCM) of 197 and 196
The least common multiple (LCM) of 197 and 196 is 38612.
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 197 and 196?
First, calculate the GCD of 197 and 196 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 196 = 1 remainder 1 |
| 2 | 196 ÷ 1 = 196 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 152 | 2584 |
| 138 and 125 | 17250 |
| 25 and 44 | 1100 |
| 179 and 52 | 9308 |
| 21 and 172 | 3612 |