Least Common Multiple (LCM) of 92 and 146
The least common multiple (LCM) of 92 and 146 is 6716.
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 146?
First, calculate the GCD of 92 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 146 = 0 remainder 92 |
| 2 | 146 ÷ 92 = 1 remainder 54 |
| 3 | 92 ÷ 54 = 1 remainder 38 |
| 4 | 54 ÷ 38 = 1 remainder 16 |
| 5 | 38 ÷ 16 = 2 remainder 6 |
| 6 | 16 ÷ 6 = 2 remainder 4 |
| 7 | 6 ÷ 4 = 1 remainder 2 |
| 8 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 20 | 1740 |
| 138 and 19 | 2622 |
| 122 and 12 | 732 |
| 49 and 152 | 7448 |
| 41 and 24 | 984 |