Least Common Multiple (LCM) of 168 and 127
The least common multiple (LCM) of 168 and 127 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 168 and 127?
First, calculate the GCD of 168 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 127 = 1 remainder 41 |
| 2 | 127 ÷ 41 = 3 remainder 4 |
| 3 | 41 ÷ 4 = 10 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 59 | 7729 |
| 30 and 68 | 1020 |
| 128 and 122 | 7808 |
| 136 and 109 | 14824 |
| 191 and 73 | 13943 |