Least Common Multiple (LCM) of 158 and 191
The least common multiple (LCM) of 158 and 191 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 158 and 191?
First, calculate the GCD of 158 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 158 ÷ 191 = 0 remainder 158 |
| 2 | 191 ÷ 158 = 1 remainder 33 |
| 3 | 158 ÷ 33 = 4 remainder 26 |
| 4 | 33 ÷ 26 = 1 remainder 7 |
| 5 | 26 ÷ 7 = 3 remainder 5 |
| 6 | 7 ÷ 5 = 1 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 76 | 12844 |
| 174 and 61 | 10614 |
| 102 and 71 | 7242 |
| 130 and 162 | 10530 |
| 71 and 101 | 7171 |