Least Common Multiple (LCM) of 94 and 165
The least common multiple (LCM) of 94 and 165 is 15510.
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 94 and 165?
First, calculate the GCD of 94 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 165 = 0 remainder 94 |
| 2 | 165 ÷ 94 = 1 remainder 71 |
| 3 | 94 ÷ 71 = 1 remainder 23 |
| 4 | 71 ÷ 23 = 3 remainder 2 |
| 5 | 23 ÷ 2 = 11 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 174 | 9048 |
| 193 and 112 | 21616 |
| 60 and 23 | 1380 |
| 167 and 113 | 18871 |
| 101 and 157 | 15857 |