Least Common Multiple (LCM) of 183 and 170
The least common multiple (LCM) of 183 and 170 is 31110.
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 183 and 170?
First, calculate the GCD of 183 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 183 ÷ 170 = 1 remainder 13 |
| 2 | 170 ÷ 13 = 13 remainder 1 |
| 3 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 12 | 12 |
| 160 and 157 | 25120 |
| 190 and 161 | 30590 |
| 102 and 133 | 13566 |
| 84 and 125 | 10500 |