Least Common Multiple (LCM) of 58 and 39
The least common multiple (LCM) of 58 and 39 is 2262.
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 39?
First, calculate the GCD of 58 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 39 = 1 remainder 19 |
| 2 | 39 ÷ 19 = 2 remainder 1 |
| 3 | 19 ÷ 1 = 19 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 40 | 520 |
| 133 and 116 | 15428 |
| 138 and 23 | 138 |
| 145 and 136 | 19720 |
| 172 and 148 | 6364 |