Least Common Multiple (LCM) of 197 and 61
The least common multiple (LCM) of 197 and 61 is 12017.
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 61?
First, calculate the GCD of 197 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 61 = 3 remainder 14 |
| 2 | 61 ÷ 14 = 4 remainder 5 |
| 3 | 14 ÷ 5 = 2 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 40 | 5320 |
| 174 and 92 | 8004 |
| 41 and 22 | 902 |
| 110 and 176 | 880 |
| 99 and 50 | 4950 |