Least Common Multiple (LCM) of 127 and 170
The least common multiple (LCM) of 127 and 170 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 127 and 170?
First, calculate the GCD of 127 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 127 ÷ 170 = 0 remainder 127 |
| 2 | 170 ÷ 127 = 1 remainder 43 |
| 3 | 127 ÷ 43 = 2 remainder 41 |
| 4 | 43 ÷ 41 = 1 remainder 2 |
| 5 | 41 ÷ 2 = 20 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 168 | 2856 |
| 107 and 41 | 4387 |
| 186 and 161 | 29946 |
| 50 and 95 | 950 |
| 108 and 37 | 3996 |