Least Common Multiple (LCM) of 16 and 197
The least common multiple (LCM) of 16 and 197 is 3152.
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 16 and 197?
First, calculate the GCD of 16 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 197 = 0 remainder 16 |
| 2 | 197 ÷ 16 = 12 remainder 5 |
| 3 | 16 ÷ 5 = 3 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 198 | 10494 |
| 64 and 59 | 3776 |
| 105 and 79 | 8295 |
| 161 and 163 | 26243 |
| 83 and 63 | 5229 |