Least Common Multiple (LCM) of 127 and 181
The least common multiple (LCM) of 127 and 181 is 22987.
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 127 and 181?
First, calculate the GCD of 127 and 181 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 181 = 0 remainder 127 |
| 2 | 181 ÷ 127 = 1 remainder 54 |
| 3 | 127 ÷ 54 = 2 remainder 19 |
| 4 | 54 ÷ 19 = 2 remainder 16 |
| 5 | 19 ÷ 16 = 1 remainder 3 |
| 6 | 16 ÷ 3 = 5 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 104 | 1352 |
| 162 and 114 | 3078 |
| 30 and 130 | 390 |
| 109 and 65 | 7085 |
| 11 and 56 | 616 |