Least Common Multiple (LCM) of 166 and 92
The least common multiple (LCM) of 166 and 92 is 7636.
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 92?
First, calculate the GCD of 166 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 92 = 1 remainder 74 |
| 2 | 92 ÷ 74 = 1 remainder 18 |
| 3 | 74 ÷ 18 = 4 remainder 2 |
| 4 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 55 | 110 |
| 25 and 116 | 2900 |
| 78 and 30 | 390 |
| 146 and 92 | 6716 |
| 11 and 91 | 1001 |