Least Common Multiple (LCM) of 51 and 127
The least common multiple (LCM) of 51 and 127 is 6477.
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 51 and 127?
First, calculate the GCD of 51 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 51 ÷ 127 = 0 remainder 51 |
| 2 | 127 ÷ 51 = 2 remainder 25 |
| 3 | 51 ÷ 25 = 2 remainder 1 |
| 4 | 25 ÷ 1 = 25 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 84 | 2604 |
| 137 and 100 | 13700 |
| 131 and 97 | 12707 |
| 32 and 81 | 2592 |
| 79 and 200 | 15800 |