Least Common Multiple (LCM) of 15 and 197
The least common multiple (LCM) of 15 and 197 is 2955.
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 15 and 197?
First, calculate the GCD of 15 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 15 ÷ 197 = 0 remainder 15 |
| 2 | 197 ÷ 15 = 13 remainder 2 |
| 3 | 15 ÷ 2 = 7 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 197 and 124 | 24428 |
| 164 and 175 | 28700 |
| 141 and 177 | 8319 |
| 129 and 162 | 6966 |
| 150 and 171 | 8550 |