Least Common Multiple (LCM) of 66 and 116
The least common multiple (LCM) of 66 and 116 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 66 and 116?
First, calculate the GCD of 66 and 116 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 116 = 0 remainder 66 |
| 2 | 116 ÷ 66 = 1 remainder 50 |
| 3 | 66 ÷ 50 = 1 remainder 16 |
| 4 | 50 ÷ 16 = 3 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 93 | 5394 |
| 111 and 94 | 10434 |
| 120 and 37 | 4440 |
| 170 and 95 | 3230 |
| 13 and 33 | 429 |