Least Common Multiple (LCM) of 188 and 166
The least common multiple (LCM) of 188 and 166 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 188 and 166?
First, calculate the GCD of 188 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 166 = 1 remainder 22 |
| 2 | 166 ÷ 22 = 7 remainder 12 |
| 3 | 22 ÷ 12 = 1 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 131 | 1965 |
| 64 and 98 | 3136 |
| 162 and 133 | 21546 |
| 181 and 147 | 26607 |
| 71 and 23 | 1633 |