Least Common Multiple (LCM) of 146 and 118
The least common multiple (LCM) of 146 and 118 is 8614.
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 118?
First, calculate the GCD of 146 and 118 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 118 = 1 remainder 28 |
| 2 | 118 ÷ 28 = 4 remainder 6 |
| 3 | 28 ÷ 6 = 4 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 103 and 74 | 7622 |
| 119 and 61 | 7259 |
| 164 and 21 | 3444 |
| 106 and 158 | 8374 |
| 106 and 92 | 4876 |