Least Common Multiple (LCM) of 182 and 170
The least common multiple (LCM) of 182 and 170 is 15470.
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 182 and 170?
First, calculate the GCD of 182 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 170 = 1 remainder 12 |
| 2 | 170 ÷ 12 = 14 remainder 2 |
| 3 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 86 and 126 | 5418 |
| 47 and 106 | 4982 |
| 169 and 27 | 4563 |
| 184 and 66 | 6072 |
| 108 and 50 | 2700 |