Least Common Multiple (LCM) of 196 and 99
The least common multiple (LCM) of 196 and 99 is 19404.
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 196 and 99?
First, calculate the GCD of 196 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 196 ÷ 99 = 1 remainder 97 |
| 2 | 99 ÷ 97 = 1 remainder 2 |
| 3 | 97 ÷ 2 = 48 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 145 | 145 |
| 17 and 95 | 1615 |
| 85 and 103 | 8755 |
| 128 and 29 | 3712 |
| 189 and 95 | 17955 |