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 |
|---|---|
| 25 and 119 | 2975 |
| 123 and 67 | 8241 |
| 180 and 183 | 10980 |
| 136 and 153 | 1224 |
| 25 and 118 | 2950 |