Least Common Multiple (LCM) of 170 and 188
The least common multiple (LCM) of 170 and 188 is 15980.
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 188?
First, calculate the GCD of 170 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 188 = 0 remainder 170 |
| 2 | 188 ÷ 170 = 1 remainder 18 |
| 3 | 170 ÷ 18 = 9 remainder 8 |
| 4 | 18 ÷ 8 = 2 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 112 | 3024 |
| 166 and 60 | 4980 |
| 123 and 23 | 2829 |
| 108 and 166 | 8964 |
| 146 and 121 | 17666 |