Least Common Multiple (LCM) of 142 and 122
The least common multiple (LCM) of 142 and 122 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 142 and 122?
First, calculate the GCD of 142 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 122 = 1 remainder 20 |
| 2 | 122 ÷ 20 = 6 remainder 2 |
| 3 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 181 and 152 | 27512 |
| 155 and 45 | 1395 |
| 163 and 129 | 21027 |
| 166 and 67 | 11122 |
| 87 and 194 | 16878 |