Least Common Multiple (LCM) of 171 and 45
The least common multiple (LCM) of 171 and 45 is 855.
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 45?
First, calculate the GCD of 171 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 45 = 3 remainder 36 |
| 2 | 45 ÷ 36 = 1 remainder 9 |
| 3 | 36 ÷ 9 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 151 | 6493 |
| 98 and 21 | 294 |
| 163 and 37 | 6031 |
| 135 and 10 | 270 |
| 120 and 145 | 3480 |