Least Common Multiple (LCM) of 142 and 163
The least common multiple (LCM) of 142 and 163 is 23146.
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 163?
First, calculate the GCD of 142 and 163 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 163 = 0 remainder 142 |
| 2 | 163 ÷ 142 = 1 remainder 21 |
| 3 | 142 ÷ 21 = 6 remainder 16 |
| 4 | 21 ÷ 16 = 1 remainder 5 |
| 5 | 16 ÷ 5 = 3 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 97 | 19400 |
| 34 and 77 | 2618 |
| 122 and 92 | 5612 |
| 171 and 54 | 1026 |
| 115 and 80 | 1840 |