Least Common Multiple (LCM) of 92 and 133
The least common multiple (LCM) of 92 and 133 is 12236.
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 92 and 133?
First, calculate the GCD of 92 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 133 = 0 remainder 92 |
| 2 | 133 ÷ 92 = 1 remainder 41 |
| 3 | 92 ÷ 41 = 2 remainder 10 |
| 4 | 41 ÷ 10 = 4 remainder 1 |
| 5 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 40 | 2440 |
| 94 and 44 | 2068 |
| 100 and 41 | 4100 |
| 85 and 148 | 12580 |
| 30 and 51 | 510 |