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 |
|---|---|
| 171 and 83 | 14193 |
| 22 and 133 | 2926 |
| 58 and 154 | 4466 |
| 200 and 111 | 22200 |
| 107 and 20 | 2140 |