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 |
|---|---|
| 144 and 47 | 6768 |
| 113 and 130 | 14690 |
| 22 and 59 | 1298 |
| 105 and 13 | 1365 |
| 112 and 196 | 784 |