Least Common Multiple (LCM) of 62 and 171
The least common multiple (LCM) of 62 and 171 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 62 and 171?
First, calculate the GCD of 62 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 171 = 0 remainder 62 |
| 2 | 171 ÷ 62 = 2 remainder 47 |
| 3 | 62 ÷ 47 = 1 remainder 15 |
| 4 | 47 ÷ 15 = 3 remainder 2 |
| 5 | 15 ÷ 2 = 7 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 39 and 96 | 1248 |
| 104 and 145 | 15080 |
| 185 and 137 | 25345 |
| 57 and 96 | 1824 |
| 161 and 123 | 19803 |