Least Common Multiple (LCM) of 165 and 78
The least common multiple (LCM) of 165 and 78 is 4290.
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 78?
First, calculate the GCD of 165 and 78 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 165 ÷ 78 = 2 remainder 9 |
| 2 | 78 ÷ 9 = 8 remainder 6 |
| 3 | 9 ÷ 6 = 1 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 94 | 14946 |
| 92 and 105 | 9660 |
| 85 and 16 | 1360 |
| 141 and 66 | 3102 |
| 140 and 174 | 12180 |