Least Common Multiple (LCM) of 122 and 143
The least common multiple (LCM) of 122 and 143 is 17446.
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 143?
First, calculate the GCD of 122 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 143 = 0 remainder 122 |
| 2 | 143 ÷ 122 = 1 remainder 21 |
| 3 | 122 ÷ 21 = 5 remainder 17 |
| 4 | 21 ÷ 17 = 1 remainder 4 |
| 5 | 17 ÷ 4 = 4 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 127 and 164 | 20828 |
| 64 and 189 | 12096 |
| 104 and 106 | 5512 |
| 176 and 81 | 14256 |
| 193 and 90 | 17370 |