Least Common Multiple (LCM) of 127 and 159
The least common multiple (LCM) of 127 and 159 is 20193.
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 159?
First, calculate the GCD of 127 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 159 = 0 remainder 127 |
| 2 | 159 ÷ 127 = 1 remainder 32 |
| 3 | 127 ÷ 32 = 3 remainder 31 |
| 4 | 32 ÷ 31 = 1 remainder 1 |
| 5 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 109 | 12317 |
| 192 and 172 | 8256 |
| 148 and 127 | 18796 |
| 162 and 54 | 162 |
| 86 and 118 | 5074 |