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 |
|---|---|
| 127 and 31 | 3937 |
| 175 and 185 | 6475 |
| 98 and 188 | 9212 |
| 175 and 130 | 4550 |
| 184 and 88 | 2024 |