Least Common Multiple (LCM) of 166 and 94
The least common multiple (LCM) of 166 and 94 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 166 and 94?
First, calculate the GCD of 166 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 94 = 1 remainder 72 |
| 2 | 94 ÷ 72 = 1 remainder 22 |
| 3 | 72 ÷ 22 = 3 remainder 6 |
| 4 | 22 ÷ 6 = 3 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 116 and 167 | 19372 |
| 126 and 100 | 6300 |
| 151 and 115 | 17365 |
| 144 and 75 | 3600 |
| 15 and 151 | 2265 |