Least Common Multiple (LCM) of 122 and 147
The least common multiple (LCM) of 122 and 147 is 17934.
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 147?
First, calculate the GCD of 122 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 147 = 0 remainder 122 |
| 2 | 147 ÷ 122 = 1 remainder 25 |
| 3 | 122 ÷ 25 = 4 remainder 22 |
| 4 | 25 ÷ 22 = 1 remainder 3 |
| 5 | 22 ÷ 3 = 7 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 128 and 104 | 1664 |
| 189 and 76 | 14364 |
| 163 and 200 | 32600 |
| 82 and 113 | 9266 |
| 198 and 103 | 20394 |