Least Common Multiple (LCM) of 93 and 171
The least common multiple (LCM) of 93 and 171 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 93 and 171?
First, calculate the GCD of 93 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 93 ÷ 171 = 0 remainder 93 |
| 2 | 171 ÷ 93 = 1 remainder 78 |
| 3 | 93 ÷ 78 = 1 remainder 15 |
| 4 | 78 ÷ 15 = 5 remainder 3 |
| 5 | 15 ÷ 3 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 42 | 966 |
| 99 and 73 | 7227 |
| 122 and 65 | 7930 |
| 29 and 172 | 4988 |
| 132 and 69 | 3036 |