Least Common Multiple (LCM) of 146 and 94
The least common multiple (LCM) of 146 and 94 is 6862.
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 146 and 94?
First, calculate the GCD of 146 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 94 = 1 remainder 52 |
| 2 | 94 ÷ 52 = 1 remainder 42 |
| 3 | 52 ÷ 42 = 1 remainder 10 |
| 4 | 42 ÷ 10 = 4 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 48 | 192 |
| 191 and 90 | 17190 |
| 177 and 158 | 27966 |
| 194 and 126 | 12222 |
| 127 and 155 | 19685 |