Least Common Multiple (LCM) of 197 and 100
The least common multiple (LCM) of 197 and 100 is 19700.
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 100?
First, calculate the GCD of 197 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 100 = 1 remainder 97 |
| 2 | 100 ÷ 97 = 1 remainder 3 |
| 3 | 97 ÷ 3 = 32 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 158 | 25122 |
| 111 and 20 | 2220 |
| 41 and 172 | 7052 |
| 55 and 88 | 440 |
| 106 and 161 | 17066 |