Least Common Multiple (LCM) of 178 and 165
The least common multiple (LCM) of 178 and 165 is 29370.
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 178 and 165?
First, calculate the GCD of 178 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 165 = 1 remainder 13 |
| 2 | 165 ÷ 13 = 12 remainder 9 |
| 3 | 13 ÷ 9 = 1 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 99 | 18315 |
| 44 and 150 | 3300 |
| 133 and 26 | 3458 |
| 51 and 51 | 51 |
| 140 and 181 | 25340 |