Least Common Multiple (LCM) of 58 and 177
The least common multiple (LCM) of 58 and 177 is 10266.
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 177?
First, calculate the GCD of 58 and 177 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 58 ÷ 177 = 0 remainder 58 |
| 2 | 177 ÷ 58 = 3 remainder 3 |
| 3 | 58 ÷ 3 = 19 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 109 | 10900 |
| 49 and 122 | 5978 |
| 34 and 147 | 4998 |
| 178 and 187 | 33286 |
| 33 and 153 | 1683 |