Least Common Multiple (LCM) of 48 and 166
The least common multiple (LCM) of 48 and 166 is 3984.
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 48 and 166?
First, calculate the GCD of 48 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 48 ÷ 166 = 0 remainder 48 |
| 2 | 166 ÷ 48 = 3 remainder 22 |
| 3 | 48 ÷ 22 = 2 remainder 4 |
| 4 | 22 ÷ 4 = 5 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 134 | 4556 |
| 198 and 100 | 9900 |
| 30 and 195 | 390 |
| 107 and 119 | 12733 |
| 136 and 104 | 1768 |