Least Common Multiple (LCM) of 116 and 66
The least common multiple (LCM) of 116 and 66 is 3828.
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 66?
First, calculate the GCD of 116 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 116 ÷ 66 = 1 remainder 50 |
| 2 | 66 ÷ 50 = 1 remainder 16 |
| 3 | 50 ÷ 16 = 3 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 118 | 11682 |
| 170 and 31 | 5270 |
| 153 and 83 | 12699 |
| 163 and 175 | 28525 |
| 162 and 10 | 810 |