Least Common Multiple (LCM) of 166 and 104
The least common multiple (LCM) of 166 and 104 is 8632.
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 166 and 104?
First, calculate the GCD of 166 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 104 = 1 remainder 62 |
| 2 | 104 ÷ 62 = 1 remainder 42 |
| 3 | 62 ÷ 42 = 1 remainder 20 |
| 4 | 42 ÷ 20 = 2 remainder 2 |
| 5 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 60 | 780 |
| 64 and 26 | 832 |
| 184 and 185 | 34040 |
| 133 and 148 | 19684 |
| 100 and 13 | 1300 |