Least Common Multiple (LCM) of 188 and 164
The least common multiple (LCM) of 188 and 164 is 7708.
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 164?
First, calculate the GCD of 188 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 164 = 1 remainder 24 |
| 2 | 164 ÷ 24 = 6 remainder 20 |
| 3 | 24 ÷ 20 = 1 remainder 4 |
| 4 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 49 and 80 | 3920 |
| 21 and 69 | 483 |
| 181 and 128 | 23168 |
| 169 and 91 | 1183 |
| 114 and 114 | 114 |