Least Common Multiple (LCM) of 127 and 20
The least common multiple (LCM) of 127 and 20 is 2540.
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 20?
First, calculate the GCD of 127 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 20 = 6 remainder 7 |
| 2 | 20 ÷ 7 = 2 remainder 6 |
| 3 | 7 ÷ 6 = 1 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 70 and 144 | 5040 |
| 170 and 187 | 1870 |
| 29 and 199 | 5771 |
| 178 and 139 | 24742 |
| 60 and 29 | 1740 |