Least Common Multiple (LCM) of 127 and 47
The least common multiple (LCM) of 127 and 47 is 5969.
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 47?
First, calculate the GCD of 127 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 47 = 2 remainder 33 |
| 2 | 47 ÷ 33 = 1 remainder 14 |
| 3 | 33 ÷ 14 = 2 remainder 5 |
| 4 | 14 ÷ 5 = 2 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 78 | 8814 |
| 197 and 152 | 29944 |
| 188 and 159 | 29892 |
| 134 and 72 | 4824 |
| 159 and 89 | 14151 |