Least Common Multiple (LCM) of 171 and 53
The least common multiple (LCM) of 171 and 53 is 9063.
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 53?
First, calculate the GCD of 171 and 53 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 53 = 3 remainder 12 |
| 2 | 53 ÷ 12 = 4 remainder 5 |
| 3 | 12 ÷ 5 = 2 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 185 | 27565 |
| 99 and 177 | 5841 |
| 20 and 184 | 920 |
| 58 and 164 | 4756 |
| 30 and 197 | 5910 |