Least Common Multiple (LCM) of 148 and 162
The least common multiple (LCM) of 148 and 162 is 11988.
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 148 and 162?
First, calculate the GCD of 148 and 162 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 162 = 0 remainder 148 |
| 2 | 162 ÷ 148 = 1 remainder 14 |
| 3 | 148 ÷ 14 = 10 remainder 8 |
| 4 | 14 ÷ 8 = 1 remainder 6 |
| 5 | 8 ÷ 6 = 1 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 198 | 9702 |
| 116 and 148 | 4292 |
| 116 and 119 | 13804 |
| 11 and 21 | 231 |
| 126 and 189 | 378 |