Least Common Multiple (LCM) of 127 and 164
The least common multiple (LCM) of 127 and 164 is 20828.
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 164?
First, calculate the GCD of 127 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 164 = 0 remainder 127 |
| 2 | 164 ÷ 127 = 1 remainder 37 |
| 3 | 127 ÷ 37 = 3 remainder 16 |
| 4 | 37 ÷ 16 = 2 remainder 5 |
| 5 | 16 ÷ 5 = 3 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 166 | 2822 |
| 114 and 81 | 3078 |
| 96 and 25 | 2400 |
| 147 and 100 | 14700 |
| 85 and 147 | 12495 |