Least Common Multiple (LCM) of 158 and 197
The least common multiple (LCM) of 158 and 197 is 31126.
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 197?
First, calculate the GCD of 158 and 197 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 197 = 0 remainder 158 |
| 2 | 197 ÷ 158 = 1 remainder 39 |
| 3 | 158 ÷ 39 = 4 remainder 2 |
| 4 | 39 ÷ 2 = 19 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 195 and 118 | 23010 |
| 198 and 165 | 990 |
| 48 and 82 | 1968 |
| 113 and 136 | 15368 |
| 106 and 77 | 8162 |