Least Common Multiple (LCM) of 61 and 197
The least common multiple (LCM) of 61 and 197 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 61 and 197?
First, calculate the GCD of 61 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 197 = 0 remainder 61 |
| 2 | 197 ÷ 61 = 3 remainder 14 |
| 3 | 61 ÷ 14 = 4 remainder 5 |
| 4 | 14 ÷ 5 = 2 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 154 | 17710 |
| 190 and 41 | 7790 |
| 174 and 73 | 12702 |
| 95 and 116 | 11020 |
| 171 and 66 | 3762 |