Least Common Multiple (LCM) of 142 and 166
The least common multiple (LCM) of 142 and 166 is 11786.
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 166?
First, calculate the GCD of 142 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 166 = 0 remainder 142 |
| 2 | 166 ÷ 142 = 1 remainder 24 |
| 3 | 142 ÷ 24 = 5 remainder 22 |
| 4 | 24 ÷ 22 = 1 remainder 2 |
| 5 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 41 | 2050 |
| 43 and 84 | 3612 |
| 200 and 159 | 31800 |
| 15 and 180 | 180 |
| 107 and 79 | 8453 |