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 |
|---|---|
| 100 and 180 | 900 |
| 141 and 111 | 5217 |
| 129 and 33 | 1419 |
| 34 and 118 | 2006 |
| 18 and 45 | 90 |