Least Common Multiple (LCM) of 116 and 166
The least common multiple (LCM) of 116 and 166 is 9628.
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 116 and 166?
First, calculate the GCD of 116 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 166 = 0 remainder 116 |
| 2 | 166 ÷ 116 = 1 remainder 50 |
| 3 | 116 ÷ 50 = 2 remainder 16 |
| 4 | 50 ÷ 16 = 3 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 178 | 3026 |
| 80 and 29 | 2320 |
| 58 and 118 | 3422 |
| 87 and 175 | 15225 |
| 151 and 138 | 20838 |