Least Common Multiple (LCM) of 58 and 141
The least common multiple (LCM) of 58 and 141 is 8178.
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 141?
First, calculate the GCD of 58 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 141 = 0 remainder 58 |
| 2 | 141 ÷ 58 = 2 remainder 25 |
| 3 | 58 ÷ 25 = 2 remainder 8 |
| 4 | 25 ÷ 8 = 3 remainder 1 |
| 5 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 149 | 15943 |
| 163 and 146 | 23798 |
| 71 and 171 | 12141 |
| 174 and 95 | 16530 |
| 190 and 160 | 3040 |