Least Common Multiple (LCM) of 148 and 166
The least common multiple (LCM) of 148 and 166 is 12284.
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 166?
First, calculate the GCD of 148 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 166 = 0 remainder 148 |
| 2 | 166 ÷ 148 = 1 remainder 18 |
| 3 | 148 ÷ 18 = 8 remainder 4 |
| 4 | 18 ÷ 4 = 4 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 17 | 2669 |
| 32 and 117 | 3744 |
| 195 and 135 | 1755 |
| 84 and 112 | 336 |
| 98 and 18 | 882 |