Least Common Multiple (LCM) of 197 and 99
The least common multiple (LCM) of 197 and 99 is 19503.
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 99?
First, calculate the GCD of 197 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 197 ÷ 99 = 1 remainder 98 |
| 2 | 99 ÷ 98 = 1 remainder 1 |
| 3 | 98 ÷ 1 = 98 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 73 | 12994 |
| 137 and 20 | 2740 |
| 34 and 123 | 4182 |
| 160 and 122 | 9760 |
| 100 and 198 | 9900 |