Least Common Multiple (LCM) of 146 and 58
The least common multiple (LCM) of 146 and 58 is 4234.
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 58?
First, calculate the GCD of 146 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 58 = 2 remainder 30 |
| 2 | 58 ÷ 30 = 1 remainder 28 |
| 3 | 30 ÷ 28 = 1 remainder 2 |
| 4 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 198 and 138 | 4554 |
| 113 and 80 | 9040 |
| 106 and 89 | 9434 |
| 135 and 130 | 3510 |
| 40 and 103 | 4120 |