Least Common Multiple (LCM) of 171 and 52
The least common multiple (LCM) of 171 and 52 is 8892.
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 52?
First, calculate the GCD of 171 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 52 = 3 remainder 15 |
| 2 | 52 ÷ 15 = 3 remainder 7 |
| 3 | 15 ÷ 7 = 2 remainder 1 |
| 4 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 16 | 496 |
| 37 and 136 | 5032 |
| 49 and 133 | 931 |
| 147 and 46 | 6762 |
| 56 and 176 | 1232 |