Least Common Multiple (LCM) of 166 and 116
The least common multiple (LCM) of 166 and 116 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 166 and 116?
First, calculate the GCD of 166 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 116 = 1 remainder 50 |
| 2 | 116 ÷ 50 = 2 remainder 16 |
| 3 | 50 ÷ 16 = 3 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 66 | 3498 |
| 67 and 63 | 4221 |
| 180 and 86 | 7740 |
| 174 and 94 | 8178 |
| 172 and 178 | 15308 |