Least Common Multiple (LCM) of 154 and 191
The least common multiple (LCM) of 154 and 191 is 29414.
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 154 and 191?
First, calculate the GCD of 154 and 191 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 191 = 0 remainder 154 |
| 2 | 191 ÷ 154 = 1 remainder 37 |
| 3 | 154 ÷ 37 = 4 remainder 6 |
| 4 | 37 ÷ 6 = 6 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 186 | 14322 |
| 37 and 23 | 851 |
| 129 and 112 | 14448 |
| 40 and 29 | 1160 |
| 125 and 99 | 12375 |