Least Common Multiple (LCM) of 139 and 181
The least common multiple (LCM) of 139 and 181 is 25159.
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 139 and 181?
First, calculate the GCD of 139 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 181 = 0 remainder 139 |
| 2 | 181 ÷ 139 = 1 remainder 42 |
| 3 | 139 ÷ 42 = 3 remainder 13 |
| 4 | 42 ÷ 13 = 3 remainder 3 |
| 5 | 13 ÷ 3 = 4 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 16 | 304 |
| 147 and 195 | 9555 |
| 172 and 138 | 11868 |
| 159 and 79 | 12561 |
| 38 and 141 | 5358 |