Least Common Multiple (LCM) of 58 and 66
The least common multiple (LCM) of 58 and 66 is 1914.
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 66?
First, calculate the GCD of 58 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 66 = 0 remainder 58 |
| 2 | 66 ÷ 58 = 1 remainder 8 |
| 3 | 58 ÷ 8 = 7 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 65 | 11505 |
| 17 and 82 | 1394 |
| 194 and 98 | 9506 |
| 31 and 193 | 5983 |
| 188 and 177 | 33276 |