Least Common Multiple (LCM) of 62 and 161
The least common multiple (LCM) of 62 and 161 is 9982.
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 161?
First, calculate the GCD of 62 and 161 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 161 = 0 remainder 62 |
| 2 | 161 ÷ 62 = 2 remainder 37 |
| 3 | 62 ÷ 37 = 1 remainder 25 |
| 4 | 37 ÷ 25 = 1 remainder 12 |
| 5 | 25 ÷ 12 = 2 remainder 1 |
| 6 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 196 | 7840 |
| 69 and 105 | 2415 |
| 15 and 175 | 525 |
| 99 and 12 | 396 |
| 20 and 101 | 2020 |