Least Common Multiple (LCM) of 198 and 158
The least common multiple (LCM) of 198 and 158 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 198 and 158?
First, calculate the GCD of 198 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 198 ÷ 158 = 1 remainder 40 |
| 2 | 158 ÷ 40 = 3 remainder 38 |
| 3 | 40 ÷ 38 = 1 remainder 2 |
| 4 | 38 ÷ 2 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 68 | 11492 |
| 164 and 73 | 11972 |
| 50 and 13 | 650 |
| 149 and 140 | 20860 |
| 80 and 109 | 8720 |