Least Common Multiple (LCM) of 122 and 145
The least common multiple (LCM) of 122 and 145 is 17690.
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 145?
First, calculate the GCD of 122 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 145 = 0 remainder 122 |
| 2 | 145 ÷ 122 = 1 remainder 23 |
| 3 | 122 ÷ 23 = 5 remainder 7 |
| 4 | 23 ÷ 7 = 3 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 182 | 15106 |
| 60 and 134 | 4020 |
| 191 and 192 | 36672 |
| 26 and 65 | 130 |
| 98 and 162 | 7938 |