Least Common Multiple (LCM) of 127 and 36
The least common multiple (LCM) of 127 and 36 is 4572.
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 36?
First, calculate the GCD of 127 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 36 = 3 remainder 19 |
| 2 | 36 ÷ 19 = 1 remainder 17 |
| 3 | 19 ÷ 17 = 1 remainder 2 |
| 4 | 17 ÷ 2 = 8 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 92 | 2668 |
| 47 and 175 | 8225 |
| 25 and 127 | 3175 |
| 103 and 159 | 16377 |
| 18 and 20 | 180 |