Least Common Multiple (LCM) of 142 and 182
The least common multiple (LCM) of 142 and 182 is 12922.
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 182?
First, calculate the GCD of 142 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 182 = 0 remainder 142 |
| 2 | 182 ÷ 142 = 1 remainder 40 |
| 3 | 142 ÷ 40 = 3 remainder 22 |
| 4 | 40 ÷ 22 = 1 remainder 18 |
| 5 | 22 ÷ 18 = 1 remainder 4 |
| 6 | 18 ÷ 4 = 4 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 57 | 1026 |
| 158 and 154 | 12166 |
| 23 and 43 | 989 |
| 60 and 138 | 1380 |
| 102 and 64 | 3264 |