Least Common Multiple (LCM) of 142 and 171
The least common multiple (LCM) of 142 and 171 is 24282.
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 171?
First, calculate the GCD of 142 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 171 = 0 remainder 142 |
| 2 | 171 ÷ 142 = 1 remainder 29 |
| 3 | 142 ÷ 29 = 4 remainder 26 |
| 4 | 29 ÷ 26 = 1 remainder 3 |
| 5 | 26 ÷ 3 = 8 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 104 | 104 |
| 91 and 77 | 1001 |
| 13 and 129 | 1677 |
| 66 and 199 | 13134 |
| 193 and 188 | 36284 |