Least Common Multiple (LCM) of 142 and 181
The least common multiple (LCM) of 142 and 181 is 25702.
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 181?
First, calculate the GCD of 142 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 181 = 0 remainder 142 |
| 2 | 181 ÷ 142 = 1 remainder 39 |
| 3 | 142 ÷ 39 = 3 remainder 25 |
| 4 | 39 ÷ 25 = 1 remainder 14 |
| 5 | 25 ÷ 14 = 1 remainder 11 |
| 6 | 14 ÷ 11 = 1 remainder 3 |
| 7 | 11 ÷ 3 = 3 remainder 2 |
| 8 | 3 ÷ 2 = 1 remainder 1 |
| 9 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 54 | 1242 |
| 139 and 177 | 24603 |
| 165 and 17 | 2805 |
| 143 and 40 | 5720 |
| 146 and 156 | 11388 |