Least Common Multiple (LCM) of 122 and 154
The least common multiple (LCM) of 122 and 154 is 9394.
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 122 and 154?
First, calculate the GCD of 122 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 154 = 0 remainder 122 |
| 2 | 154 ÷ 122 = 1 remainder 32 |
| 3 | 122 ÷ 32 = 3 remainder 26 |
| 4 | 32 ÷ 26 = 1 remainder 6 |
| 5 | 26 ÷ 6 = 4 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 173 | 18165 |
| 119 and 180 | 21420 |
| 21 and 24 | 168 |
| 157 and 149 | 23393 |
| 125 and 87 | 10875 |