Least Common Multiple (LCM) of 174 and 34
The least common multiple (LCM) of 174 and 34 is 2958.
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 34?
First, calculate the GCD of 174 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 34 = 5 remainder 4 |
| 2 | 34 ÷ 4 = 8 remainder 2 |
| 3 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 111 | 8880 |
| 97 and 165 | 16005 |
| 157 and 43 | 6751 |
| 193 and 111 | 21423 |
| 154 and 108 | 8316 |