Least Common Multiple (LCM) of 165 and 179
The least common multiple (LCM) of 165 and 179 is 29535.
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 179?
First, calculate the GCD of 165 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 179 = 0 remainder 165 |
| 2 | 179 ÷ 165 = 1 remainder 14 |
| 3 | 165 ÷ 14 = 11 remainder 11 |
| 4 | 14 ÷ 11 = 1 remainder 3 |
| 5 | 11 ÷ 3 = 3 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 50 and 24 | 600 |
| 37 and 177 | 6549 |
| 86 and 28 | 1204 |
| 187 and 42 | 7854 |
| 120 and 150 | 600 |