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 |
|---|---|
| 199 and 72 | 14328 |
| 116 and 26 | 1508 |
| 171 and 157 | 26847 |
| 93 and 62 | 186 |
| 114 and 157 | 17898 |