Least Common Multiple (LCM) of 127 and 168
The least common multiple (LCM) of 127 and 168 is 21336.
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 168?
First, calculate the GCD of 127 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 168 = 0 remainder 127 |
| 2 | 168 ÷ 127 = 1 remainder 41 |
| 3 | 127 ÷ 41 = 3 remainder 4 |
| 4 | 41 ÷ 4 = 10 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 153 | 2295 |
| 35 and 45 | 315 |
| 70 and 59 | 4130 |
| 81 and 29 | 2349 |
| 146 and 20 | 1460 |