Least Common Multiple (LCM) of 191 and 158
The least common multiple (LCM) of 191 and 158 is 30178.
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 191 and 158?
First, calculate the GCD of 191 and 158 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 158 = 1 remainder 33 |
| 2 | 158 ÷ 33 = 4 remainder 26 |
| 3 | 33 ÷ 26 = 1 remainder 7 |
| 4 | 26 ÷ 7 = 3 remainder 5 |
| 5 | 7 ÷ 5 = 1 remainder 2 |
| 6 | 5 ÷ 2 = 2 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 77 | 2002 |
| 136 and 58 | 3944 |
| 71 and 17 | 1207 |
| 85 and 108 | 9180 |
| 109 and 132 | 14388 |