Least Common Multiple (LCM) of 108 and 58
The least common multiple (LCM) of 108 and 58 is 3132.
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 108 and 58?
First, calculate the GCD of 108 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 58 = 1 remainder 50 |
| 2 | 58 ÷ 50 = 1 remainder 8 |
| 3 | 50 ÷ 8 = 6 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 82 | 2378 |
| 71 and 17 | 1207 |
| 141 and 157 | 22137 |
| 52 and 49 | 2548 |
| 67 and 138 | 9246 |