Least Common Multiple (LCM) of 142 and 161
The least common multiple (LCM) of 142 and 161 is 22862.
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 161?
First, calculate the GCD of 142 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 161 = 0 remainder 142 |
| 2 | 161 ÷ 142 = 1 remainder 19 |
| 3 | 142 ÷ 19 = 7 remainder 9 |
| 4 | 19 ÷ 9 = 2 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 197 | 14184 |
| 112 and 156 | 4368 |
| 113 and 128 | 14464 |
| 27 and 118 | 3186 |
| 131 and 166 | 21746 |