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 |
|---|---|
| 85 and 117 | 9945 |
| 45 and 34 | 1530 |
| 161 and 172 | 27692 |
| 111 and 98 | 10878 |
| 142 and 100 | 7100 |