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 |
|---|---|
| 94 and 125 | 11750 |
| 175 and 140 | 700 |
| 190 and 104 | 9880 |
| 181 and 82 | 14842 |
| 192 and 120 | 960 |