Least Common Multiple (LCM) of 58 and 148
The least common multiple (LCM) of 58 and 148 is 4292.
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 58 and 148?
First, calculate the GCD of 58 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 148 = 0 remainder 58 |
| 2 | 148 ÷ 58 = 2 remainder 32 |
| 3 | 58 ÷ 32 = 1 remainder 26 |
| 4 | 32 ÷ 26 = 1 remainder 6 |
| 5 | 26 ÷ 6 = 4 remainder 2 |
| 6 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 135 and 193 | 26055 |
| 33 and 180 | 1980 |
| 45 and 160 | 1440 |
| 157 and 22 | 3454 |
| 164 and 197 | 32308 |