Least Common Multiple (LCM) of 164 and 127
The least common multiple (LCM) of 164 and 127 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 164 and 127?
First, calculate the GCD of 164 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 164 ÷ 127 = 1 remainder 37 |
| 2 | 127 ÷ 37 = 3 remainder 16 |
| 3 | 37 ÷ 16 = 2 remainder 5 |
| 4 | 16 ÷ 5 = 3 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 25 | 700 |
| 18 and 95 | 1710 |
| 40 and 92 | 920 |
| 184 and 10 | 920 |
| 115 and 149 | 17135 |