Least Common Multiple (LCM) of 171 and 189
The least common multiple (LCM) of 171 and 189 is 3591.
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 189?
First, calculate the GCD of 171 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 189 = 0 remainder 171 |
| 2 | 189 ÷ 171 = 1 remainder 18 |
| 3 | 171 ÷ 18 = 9 remainder 9 |
| 4 | 18 ÷ 9 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 69 and 116 | 8004 |
| 12 and 126 | 252 |
| 46 and 140 | 3220 |
| 123 and 88 | 10824 |
| 152 and 26 | 1976 |