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 |
|---|---|
| 70 and 184 | 6440 |
| 106 and 91 | 9646 |
| 37 and 184 | 6808 |
| 22 and 51 | 1122 |
| 169 and 142 | 23998 |