Least Common Multiple (LCM) of 170 and 127
The least common multiple (LCM) of 170 and 127 is 21590.
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 170 and 127?
First, calculate the GCD of 170 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 127 = 1 remainder 43 |
| 2 | 127 ÷ 43 = 2 remainder 41 |
| 3 | 43 ÷ 41 = 1 remainder 2 |
| 4 | 41 ÷ 2 = 20 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 66 and 192 | 2112 |
| 187 and 147 | 27489 |
| 25 and 178 | 4450 |
| 141 and 151 | 21291 |
| 183 and 35 | 6405 |