Least Common Multiple (LCM) of 138 and 181
The least common multiple (LCM) of 138 and 181 is 24978.
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 138 and 181?
First, calculate the GCD of 138 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 181 = 0 remainder 138 |
| 2 | 181 ÷ 138 = 1 remainder 43 |
| 3 | 138 ÷ 43 = 3 remainder 9 |
| 4 | 43 ÷ 9 = 4 remainder 7 |
| 5 | 9 ÷ 7 = 1 remainder 2 |
| 6 | 7 ÷ 2 = 3 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 27 and 27 | 27 |
| 72 and 105 | 2520 |
| 198 and 186 | 6138 |
| 134 and 122 | 8174 |
| 185 and 47 | 8695 |