Least Common Multiple (LCM) of 171 and 93
The least common multiple (LCM) of 171 and 93 is 5301.
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 171 and 93?
First, calculate the GCD of 171 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 93 = 1 remainder 78 |
| 2 | 93 ÷ 78 = 1 remainder 15 |
| 3 | 78 ÷ 15 = 5 remainder 3 |
| 4 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 188 and 82 | 7708 |
| 198 and 164 | 16236 |
| 102 and 167 | 17034 |
| 108 and 75 | 2700 |
| 118 and 136 | 8024 |