Least Common Multiple (LCM) of 170 and 186
The least common multiple (LCM) of 170 and 186 is 15810.
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 186?
First, calculate the GCD of 170 and 186 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 186 = 0 remainder 170 |
| 2 | 186 ÷ 170 = 1 remainder 16 |
| 3 | 170 ÷ 16 = 10 remainder 10 |
| 4 | 16 ÷ 10 = 1 remainder 6 |
| 5 | 10 ÷ 6 = 1 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 13 and 36 | 468 |
| 175 and 141 | 24675 |
| 38 and 51 | 1938 |
| 42 and 17 | 714 |
| 91 and 37 | 3367 |