Least Common Multiple (LCM) of 94 and 166
The least common multiple (LCM) of 94 and 166 is 7802.
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 166?
First, calculate the GCD of 94 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 166 = 0 remainder 94 |
| 2 | 166 ÷ 94 = 1 remainder 72 |
| 3 | 94 ÷ 72 = 1 remainder 22 |
| 4 | 72 ÷ 22 = 3 remainder 6 |
| 5 | 22 ÷ 6 = 3 remainder 4 |
| 6 | 6 ÷ 4 = 1 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 15 | 165 |
| 62 and 165 | 10230 |
| 112 and 186 | 10416 |
| 142 and 87 | 12354 |
| 94 and 13 | 1222 |