Least Common Multiple (LCM) of 146 and 162
The least common multiple (LCM) of 146 and 162 is 11826.
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 146 and 162?
First, calculate the GCD of 146 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 162 = 0 remainder 146 |
| 2 | 162 ÷ 146 = 1 remainder 16 |
| 3 | 146 ÷ 16 = 9 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 82 | 2542 |
| 56 and 44 | 616 |
| 164 and 171 | 28044 |
| 143 and 21 | 3003 |
| 176 and 56 | 1232 |