Least Common Multiple (LCM) of 170 and 174
The least common multiple (LCM) of 170 and 174 is 14790.
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 174?
First, calculate the GCD of 170 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 174 = 0 remainder 170 |
| 2 | 174 ÷ 170 = 1 remainder 4 |
| 3 | 170 ÷ 4 = 42 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 64 | 7104 |
| 138 and 197 | 27186 |
| 48 and 196 | 2352 |
| 189 and 177 | 11151 |
| 199 and 142 | 28258 |