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 |
|---|---|
| 158 and 13 | 2054 |
| 190 and 88 | 8360 |
| 54 and 24 | 216 |
| 193 and 199 | 38407 |
| 99 and 168 | 5544 |