Least Common Multiple (LCM) of 165 and 58
The least common multiple (LCM) of 165 and 58 is 9570.
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 165 and 58?
First, calculate the GCD of 165 and 58 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 58 = 2 remainder 49 |
| 2 | 58 ÷ 49 = 1 remainder 9 |
| 3 | 49 ÷ 9 = 5 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 113 and 156 | 17628 |
| 169 and 66 | 11154 |
| 199 and 187 | 37213 |
| 96 and 102 | 1632 |
| 91 and 168 | 2184 |