Least Common Multiple (LCM) of 166 and 174
The least common multiple (LCM) of 166 and 174 is 14442.
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 166 and 174?
First, calculate the GCD of 166 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 174 = 0 remainder 166 |
| 2 | 174 ÷ 166 = 1 remainder 8 |
| 3 | 166 ÷ 8 = 20 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 98 | 2646 |
| 90 and 131 | 11790 |
| 155 and 55 | 1705 |
| 163 and 110 | 17930 |
| 109 and 24 | 2616 |