Least Common Multiple (LCM) of 171 and 22
The least common multiple (LCM) of 171 and 22 is 3762.
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 22?
First, calculate the GCD of 171 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 22 = 7 remainder 17 |
| 2 | 22 ÷ 17 = 1 remainder 5 |
| 3 | 17 ÷ 5 = 3 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 23 | 2530 |
| 157 and 155 | 24335 |
| 31 and 13 | 403 |
| 97 and 32 | 3104 |
| 22 and 117 | 2574 |