Least Common Multiple (LCM) of 166 and 188
The least common multiple (LCM) of 166 and 188 is 15604.
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 188?
First, calculate the GCD of 166 and 188 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 188 = 0 remainder 166 |
| 2 | 188 ÷ 166 = 1 remainder 22 |
| 3 | 166 ÷ 22 = 7 remainder 12 |
| 4 | 22 ÷ 12 = 1 remainder 10 |
| 5 | 12 ÷ 10 = 1 remainder 2 |
| 6 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 89 | 12104 |
| 183 and 30 | 1830 |
| 150 and 149 | 22350 |
| 181 and 175 | 31675 |
| 76 and 132 | 2508 |