Least Common Multiple (LCM) of 61 and 162
The least common multiple (LCM) of 61 and 162 is 9882.
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 61 and 162?
First, calculate the GCD of 61 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 61 ÷ 162 = 0 remainder 61 |
| 2 | 162 ÷ 61 = 2 remainder 40 |
| 3 | 61 ÷ 40 = 1 remainder 21 |
| 4 | 40 ÷ 21 = 1 remainder 19 |
| 5 | 21 ÷ 19 = 1 remainder 2 |
| 6 | 19 ÷ 2 = 9 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 159 | 2385 |
| 14 and 188 | 1316 |
| 66 and 29 | 1914 |
| 48 and 178 | 4272 |
| 21 and 67 | 1407 |