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 |
|---|---|
| 151 and 20 | 3020 |
| 106 and 15 | 1590 |
| 73 and 113 | 8249 |
| 66 and 35 | 2310 |
| 173 and 190 | 32870 |