Least Common Multiple (LCM) of 159 and 127
The least common multiple (LCM) of 159 and 127 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 159 and 127?
First, calculate the GCD of 159 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 127 = 1 remainder 32 |
| 2 | 127 ÷ 32 = 3 remainder 31 |
| 3 | 32 ÷ 31 = 1 remainder 1 |
| 4 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 42 | 84 |
| 49 and 76 | 3724 |
| 30 and 120 | 120 |
| 67 and 38 | 2546 |
| 171 and 43 | 7353 |