Least Common Multiple (LCM) of 122 and 142
The least common multiple (LCM) of 122 and 142 is 8662.
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 142?
First, calculate the GCD of 122 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 122 ÷ 142 = 0 remainder 122 |
| 2 | 142 ÷ 122 = 1 remainder 20 |
| 3 | 122 ÷ 20 = 6 remainder 2 |
| 4 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 16 | 784 |
| 113 and 171 | 19323 |
| 75 and 186 | 4650 |
| 54 and 60 | 540 |
| 89 and 113 | 10057 |