Least Common Multiple (LCM) of 58 and 139
The least common multiple (LCM) of 58 and 139 is 8062.
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 139?
First, calculate the GCD of 58 and 139 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 139 = 0 remainder 58 |
| 2 | 139 ÷ 58 = 2 remainder 23 |
| 3 | 58 ÷ 23 = 2 remainder 12 |
| 4 | 23 ÷ 12 = 1 remainder 11 |
| 5 | 12 ÷ 11 = 1 remainder 1 |
| 6 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 68 | 340 |
| 129 and 164 | 21156 |
| 104 and 21 | 2184 |
| 122 and 41 | 5002 |
| 45 and 14 | 630 |