Least Common Multiple (LCM) of 174 and 95
The least common multiple (LCM) of 174 and 95 is 16530.
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 95?
First, calculate the GCD of 174 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 95 = 1 remainder 79 |
| 2 | 95 ÷ 79 = 1 remainder 16 |
| 3 | 79 ÷ 16 = 4 remainder 15 |
| 4 | 16 ÷ 15 = 1 remainder 1 |
| 5 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 98 | 12250 |
| 156 and 66 | 1716 |
| 167 and 115 | 19205 |
| 177 and 20 | 3540 |
| 193 and 92 | 17756 |