Least Common Multiple (LCM) of 158 and 198
The least common multiple (LCM) of 158 and 198 is 15642.
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 158 and 198?
First, calculate the GCD of 158 and 198 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 198 = 0 remainder 158 |
| 2 | 198 ÷ 158 = 1 remainder 40 |
| 3 | 158 ÷ 40 = 3 remainder 38 |
| 4 | 40 ÷ 38 = 1 remainder 2 |
| 5 | 38 ÷ 2 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 102 | 5406 |
| 58 and 84 | 2436 |
| 46 and 119 | 5474 |
| 73 and 169 | 12337 |
| 138 and 162 | 3726 |