Least Common Multiple (LCM) of 154 and 71
The least common multiple (LCM) of 154 and 71 is 10934.
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 71?
First, calculate the GCD of 154 and 71 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 71 = 2 remainder 12 |
| 2 | 71 ÷ 12 = 5 remainder 11 |
| 3 | 12 ÷ 11 = 1 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 24 | 192 |
| 157 and 105 | 16485 |
| 33 and 165 | 165 |
| 16 and 185 | 2960 |
| 55 and 158 | 8690 |