Least Common Multiple (LCM) of 121 and 162
The least common multiple (LCM) of 121 and 162 is 19602.
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 121 and 162?
First, calculate the GCD of 121 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 162 = 0 remainder 121 |
| 2 | 162 ÷ 121 = 1 remainder 41 |
| 3 | 121 ÷ 41 = 2 remainder 39 |
| 4 | 41 ÷ 39 = 1 remainder 2 |
| 5 | 39 ÷ 2 = 19 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 186 and 15 | 930 |
| 65 and 195 | 195 |
| 172 and 103 | 17716 |
| 68 and 179 | 12172 |
| 145 and 96 | 13920 |