Least Common Multiple (LCM) of 166 and 112
The least common multiple (LCM) of 166 and 112 is 9296.
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 112?
First, calculate the GCD of 166 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 112 = 1 remainder 54 |
| 2 | 112 ÷ 54 = 2 remainder 4 |
| 3 | 54 ÷ 4 = 13 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 52 | 3172 |
| 164 and 179 | 29356 |
| 86 and 46 | 1978 |
| 154 and 143 | 2002 |
| 12 and 150 | 300 |