Least Common Multiple (LCM) of 171 and 62
The least common multiple (LCM) of 171 and 62 is 10602.
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 62?
First, calculate the GCD of 171 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 171 ÷ 62 = 2 remainder 47 |
| 2 | 62 ÷ 47 = 1 remainder 15 |
| 3 | 47 ÷ 15 = 3 remainder 2 |
| 4 | 15 ÷ 2 = 7 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 100 | 17100 |
| 196 and 129 | 25284 |
| 173 and 33 | 5709 |
| 114 and 102 | 1938 |
| 50 and 53 | 2650 |