Least Common Multiple (LCM) of 162 and 61
The least common multiple (LCM) of 162 and 61 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 162 and 61?
First, calculate the GCD of 162 and 61 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 162 ÷ 61 = 2 remainder 40 |
| 2 | 61 ÷ 40 = 1 remainder 21 |
| 3 | 40 ÷ 21 = 1 remainder 19 |
| 4 | 21 ÷ 19 = 1 remainder 2 |
| 5 | 19 ÷ 2 = 9 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 180 | 10620 |
| 95 and 128 | 12160 |
| 19 and 51 | 969 |
| 100 and 135 | 2700 |
| 90 and 35 | 630 |