Least Common Multiple (LCM) of 174 and 171
The least common multiple (LCM) of 174 and 171 is 9918.
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 174 and 171?
First, calculate the GCD of 174 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 171 = 1 remainder 3 |
| 2 | 171 ÷ 3 = 57 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 152 | 6232 |
| 110 and 46 | 2530 |
| 183 and 93 | 5673 |
| 198 and 189 | 4158 |
| 34 and 132 | 2244 |