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 |
|---|---|
| 176 and 27 | 4752 |
| 163 and 111 | 18093 |
| 173 and 139 | 24047 |
| 124 and 135 | 16740 |
| 149 and 133 | 19817 |