Least Common Multiple (LCM) of 58 and 149
The least common multiple (LCM) of 58 and 149 is 8642.
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 149?
First, calculate the GCD of 58 and 149 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 149 = 0 remainder 58 |
| 2 | 149 ÷ 58 = 2 remainder 33 |
| 3 | 58 ÷ 33 = 1 remainder 25 |
| 4 | 33 ÷ 25 = 1 remainder 8 |
| 5 | 25 ÷ 8 = 3 remainder 1 |
| 6 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 54 and 147 | 2646 |
| 75 and 159 | 3975 |
| 142 and 56 | 3976 |
| 198 and 45 | 990 |
| 38 and 133 | 266 |