Least Common Multiple (LCM) of 66 and 92
The least common multiple (LCM) of 66 and 92 is 3036.
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 92?
First, calculate the GCD of 66 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 92 = 0 remainder 66 |
| 2 | 92 ÷ 66 = 1 remainder 26 |
| 3 | 66 ÷ 26 = 2 remainder 14 |
| 4 | 26 ÷ 14 = 1 remainder 12 |
| 5 | 14 ÷ 12 = 1 remainder 2 |
| 6 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 57 | 2793 |
| 72 and 123 | 2952 |
| 157 and 114 | 17898 |
| 32 and 39 | 1248 |
| 103 and 200 | 20600 |