Least Common Multiple (LCM) of 58 and 142
The least common multiple (LCM) of 58 and 142 is 4118.
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 142?
First, calculate the GCD of 58 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 142 = 0 remainder 58 |
| 2 | 142 ÷ 58 = 2 remainder 26 |
| 3 | 58 ÷ 26 = 2 remainder 6 |
| 4 | 26 ÷ 6 = 4 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 27 | 297 |
| 126 and 109 | 13734 |
| 102 and 178 | 9078 |
| 137 and 65 | 8905 |
| 154 and 26 | 2002 |