Least Common Multiple (LCM) of 144 and 122
The least common multiple (LCM) of 144 and 122 is 8784.
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 144 and 122?
First, calculate the GCD of 144 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 144 ÷ 122 = 1 remainder 22 |
| 2 | 122 ÷ 22 = 5 remainder 12 |
| 3 | 22 ÷ 12 = 1 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 34 and 23 | 782 |
| 165 and 152 | 25080 |
| 104 and 83 | 8632 |
| 169 and 122 | 20618 |
| 134 and 68 | 4556 |