Least Common Multiple (LCM) of 41 and 162
The least common multiple (LCM) of 41 and 162 is 6642.
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 41 and 162?
First, calculate the GCD of 41 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 41 ÷ 162 = 0 remainder 41 |
| 2 | 162 ÷ 41 = 3 remainder 39 |
| 3 | 41 ÷ 39 = 1 remainder 2 |
| 4 | 39 ÷ 2 = 19 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 109 | 3161 |
| 137 and 125 | 17125 |
| 60 and 199 | 11940 |
| 58 and 68 | 1972 |
| 168 and 55 | 9240 |