Least Common Multiple (LCM) of 166 and 58
The least common multiple (LCM) of 166 and 58 is 4814.
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 166 and 58?
First, calculate the GCD of 166 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 58 = 2 remainder 50 |
| 2 | 58 ÷ 50 = 1 remainder 8 |
| 3 | 50 ÷ 8 = 6 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 15 | 645 |
| 133 and 111 | 14763 |
| 196 and 54 | 5292 |
| 174 and 18 | 522 |
| 19 and 47 | 893 |