Least Common Multiple (LCM) of 154 and 86
The least common multiple (LCM) of 154 and 86 is 6622.
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 86?
First, calculate the GCD of 154 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 154 ÷ 86 = 1 remainder 68 |
| 2 | 86 ÷ 68 = 1 remainder 18 |
| 3 | 68 ÷ 18 = 3 remainder 14 |
| 4 | 18 ÷ 14 = 1 remainder 4 |
| 5 | 14 ÷ 4 = 3 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 78 | 4290 |
| 172 and 123 | 21156 |
| 11 and 155 | 1705 |
| 80 and 22 | 880 |
| 85 and 158 | 13430 |