Least Common Multiple (LCM) of 43 and 127
The least common multiple (LCM) of 43 and 127 is 5461.
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 43 and 127?
First, calculate the GCD of 43 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 127 = 0 remainder 43 |
| 2 | 127 ÷ 43 = 2 remainder 41 |
| 3 | 43 ÷ 41 = 1 remainder 2 |
| 4 | 41 ÷ 2 = 20 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 193 and 184 | 35512 |
| 135 and 99 | 1485 |
| 167 and 130 | 21710 |
| 112 and 116 | 3248 |
| 197 and 64 | 12608 |